Question: For Microsoft from August 04, 2022 to November 12, 2022, what percentage of days had the close less than the SuperTrend upper channel? (Unit: %) (Standard parameters: period 10, multiplier 3; Require 5n data points to warm up) Using unadjusted prices, write down the indicator formula, collect the raw data, calculate the answer, and keep four decimal places. Please list the raw data and key calculation process.
Formula: Mid_t = (H_t + L_t) / 2; BasicUpper_t = Mid_t + m * ATR_n^{Wilder}; BasicLower_t = Mid_t - m * ATR_n^{Wilder}; in long state Lower_t = max(BasicLower_t, Lower_{t-1}), flip to short if C_t < Lower_t; in short state Upper_t = min(BasicUpper_t, Upper_{t-1}), flip to long if C_t > Upper_t
Data:
date,high,low,close
2022-05-23,261.5,253.42999267578125,260.6499938964844
2022-05-24,261.3299865722656,253.5,259.6199951171875
2022-05-25,264.5799865722656,257.1300048828125,262.5199890136719
2022-05-26,267.1099853515625,261.42999267578125,265.8999938964844
2022-05-27,273.3399963378906,267.5599975585937,273.239990234375
2022-05-31,274.7699890136719,268.92999267578125,271.8699951171875
2022-06-01,277.69000244140625,270.0400085449219,272.4200134277344
2022-06-02,274.6499938964844,261.6000061035156,274.5799865722656
2022-06-03,273.45001220703125,268.4100036621094,270.0199890136719
2022-06-06,274.17999267578125,267.2200012207031,268.75
2022-06-07,273.1300048828125,265.94000244140625,272.5
2022-06-08,273.0,269.6099853515625,270.4100036621094
2022-06-09,272.7099914550781,264.6300048828125,264.7900085449219
2022-06-10,260.5799865722656,252.52999877929688,252.9900054931641
2022-06-13,249.0200042724609,241.52999877929688,242.25999450683597
2022-06-14,245.7400054931641,241.50999450683597,244.4900054931641
2022-06-15,255.3000030517578,246.4199981689453,251.75999450683597
2022-06-16,247.4199981689453,243.0200042724609,244.97000122070312
2022-06-17,250.5,244.02999877929688,247.6499938964844
2022-06-21,254.75,249.50999450683597,253.7400054931641
2022-06-22,257.1700134277344,250.3699951171875,253.1300048828125
2022-06-23,259.3699951171875,253.6300048828125,258.8599853515625
2022-06-24,267.9800109863281,261.7200012207031,267.70001220703125
2022-06-27,268.29998779296875,263.2799987792969,264.8900146484375
2022-06-28,266.9100036621094,256.32000732421875,256.4800109863281
2022-06-29,261.9700012207031,255.75999450683597,260.260009765625
2022-06-30,259.5299987792969,252.8999938964844,256.8299865722656
2022-07-01,259.7699890136719,254.6100006103516,259.5799865722656
2022-07-05,262.9800109863281,254.7400054931641,262.8500061035156
2022-07-06,267.989990234375,262.3999938964844,266.2099914550781
2022-07-07,269.0599975585937,265.0199890136719,268.3999938964844
2022-07-08,268.1000061035156,263.2900085449219,267.6600036621094
2022-07-11,266.5299987792969,262.17999267578125,264.510009765625
2022-07-12,265.94000244140625,252.0399932861328,253.6699981689453
2022-07-13,253.5500030517578,248.1100006103516,252.72000122070312
2022-07-14,255.13999938964844,245.94000244140625,254.0800018310547
2022-07-15,260.3699951171875,254.7700042724609,256.7200012207031
2022-07-18,260.8399963378906,253.3000030517578,254.25
2022-07-19,259.7200012207031,253.67999267578125,259.5299987792969
2022-07-20,264.8699951171875,258.9100036621094,262.2699890136719
2022-07-21,264.8900146484375,257.0299987792969,264.8399963378906
2022-07-22,265.3299865722656,259.07000732421875,260.3599853515625
2022-07-25,261.5,256.8099975585937,258.8299865722656
2022-07-26,259.8800048828125,249.57000732421875,251.8999938964844
2022-07-27,270.04998779296875,258.8500061035156,268.739990234375
2022-07-28,277.8399963378906,267.8699951171875,276.4100036621094
2022-07-29,282.0,276.6300048828125,280.739990234375
2022-08-01,281.2799987792969,275.8399963378906,278.010009765625
2022-08-02,277.8900146484375,272.3800048828125,274.82000732421875
2022-08-03,283.5,276.6099853515625,282.4700012207031
2022-08-04,283.79998779296875,280.1700134277344,283.6499938964844
2022-08-05,283.6499938964844,278.67999267578125,282.9100036621094
2022-08-08,285.9200134277344,279.32000732421875,280.32000732421875
2022-08-09,283.0799865722656,277.6099853515625,282.29998779296875
2022-08-10,289.8099975585937,286.94000244140625,289.1600036621094
2022-08-11,291.2099914550781,286.510009765625,287.0199890136719
2022-08-12,291.9100036621094,286.94000244140625,291.9100036621094
2022-08-15,294.17999267578125,290.1099853515625,293.4700012207031
2022-08-16,294.0400085449219,290.4200134277344,292.7099914550781
2022-08-17,293.3500061035156,289.4700012207031,291.32000732421875
2022-08-18,291.9100036621094,289.0799865722656,290.1700134277344
2022-08-19,289.25,285.5599975585937,286.1499938964844
2022-08-22,282.4599914550781,277.2200012207031,277.75
2022-08-23,278.8599853515625,275.3999938964844,276.44000244140625
2022-08-24,277.2300109863281,275.1099853515625,275.7900085449219
2022-08-25,279.0199890136719,274.5199890136719,278.8500061035156
2022-08-26,280.3399963378906,267.9800109863281,268.0899963378906
2022-08-29,267.3999938964844,263.8500061035156,265.2300109863281
2022-08-30,267.04998779296875,260.6600036621094,262.9700012207031
2022-08-31,267.1099853515625,261.3299865722656,261.4700012207031
2022-09-01,260.8900146484375,255.41000366210935,260.3999938964844
2022-09-02,264.739990234375,254.47000122070312,256.0599975585937
2022-09-06,257.8299865722656,251.94000244140625,253.25
2022-09-07,258.8299865722656,253.22000122070312,258.0899963378906
2022-09-08,260.42999267578125,254.7899932861328,258.5199890136719
2022-09-09,265.2300109863281,260.2900085449219,264.4599914550781
2022-09-12,267.45001220703125,265.1600036621094,266.6499938964844
2022-09-13,260.3999938964844,251.58999633789065,251.9900054931641
2022-09-14,254.22999572753903,249.8600006103516,252.22000122070312
2022-09-15,251.3999938964844,244.0200042724609,245.3800048828125
2022-09-16,245.3000030517578,242.05999755859372,244.7400054931641
2022-09-19,245.13999938964844,240.8500061035156,244.5200042724609
2022-09-20,243.50999450683597,239.63999938964844,242.4499969482422
2022-09-21,247.66000366210935,238.8999938964844,238.9499969482422
2022-09-22,243.8600006103516,237.57000732421875,240.97999572753903
2022-09-23,241.1300048828125,235.1999969482422,237.9199981689453
2022-09-26,241.4499969482422,236.8999938964844,237.4499969482422
2022-09-27,241.8000030517578,234.5,236.41000366210935
2022-09-28,242.3300018310547,234.72999572753903,241.07000732421875
2022-09-29,239.9499969482422,234.41000366210935,237.5
2022-09-30,240.5399932861328,232.72999572753903,232.8999938964844
2022-10-03,241.6100006103516,234.66000366210935,240.7400054931641
2022-10-04,250.3600006103516,244.97999572753903,248.8800048828125
2022-10-05,250.5800018310547,244.1000061035156,249.1999969482422
2022-10-06,250.33999633789065,246.0800018310547,246.7899932861328
2022-10-07,241.32000732421875,233.1699981689453,234.2400054931641
2022-10-10,234.55999755859372,226.72999572753903,229.25
2022-10-11,229.05999755859372,224.1100006103516,225.41000366210935
2022-10-12,227.8600006103516,223.9600067138672,225.75
2022-10-13,236.1000061035156,219.1300048828125,234.2400054931641
2022-10-14,237.2400054931641,228.33999633789065,228.55999755859372
2022-10-17,238.9600067138672,235.13999938964844,237.52999877929688
2022-10-18,243.92999267578125,235.3699951171875,238.5
2022-10-19,239.6100006103516,234.2899932861328,236.47999572753903
2022-10-20,241.30999755859372,234.8699951171875,236.1499938964844
2022-10-21,243.0,234.5,242.1199951171875
2022-10-24,247.83999633789065,241.3000030517578,247.25
2022-10-25,251.0399932861328,245.8300018310547,250.66000366210935
2022-10-26,238.3000030517578,230.05999755859372,231.32000732421875
2022-10-27,233.69000244140625,225.77999877929688,226.75
2022-10-28,236.6000061035156,226.0500030517578,235.8699951171875
2022-10-31,234.9199981689453,231.1499938964844,232.1300048828125
2022-11-01,235.7400054931641,227.3300018310547,228.1699981689453
2022-11-02,231.3000030517578,220.0399932861328,220.1000061035156
2022-11-03,220.41000366210935,213.97999572753903,214.25
2022-11-04,221.58999633789065,213.42999267578125,221.38999938964844
2022-11-07,228.41000366210935,221.27999877929688,227.8699951171875
2022-11-08,231.6499938964844,225.83999633789065,228.8699951171875
2022-11-09,228.6300048828125,224.3300018310547,224.50999450683597
2022-11-10,243.3300018310547,235.0,242.97999572753903
2022-11-11,247.9900054931641,241.92999267578125,247.1100006103516

Indicator data:
date,Middle,Upper,Lower,close
2022-06-07,269.5350036621094,293.54197387695314,247.85802001953124,272.5
2022-06-08,271.30499267578125,293.54197387695314,249.84468630981445,270.4100036621094
2022-06-09,268.6699981689453,293.54197387695314,249.84468630981445,264.7900085449219
2022-06-10,256.55499267578125,293.54197387695314,249.84468630981445,252.9900054931641
2022-06-13,245.2750015258789,269.6312062546082,249.84468630981445,242.25999450683597
2022-06-14,243.62500000000003,266.8145875517548,249.84468630981445,244.4900054931641
2022-06-15,250.86000061035156,266.8145875517548,249.84468630981445,251.75999450683597
2022-06-16,245.22000122070312,266.8145875517548,249.84468630981445,244.97000122070312
2022-06-17,247.26499938964844,266.8145875517548,249.84468630981445,247.6499938964844
2022-06-21,252.12999725341797,266.8145875517548,249.84468630981445,253.7400054931641
2022-06-22,253.77000427246094,266.8145875517548,249.84468630981445,253.1300048828125
2022-06-23,256.5,266.8145875517548,249.84468630981445,258.8599853515625
2022-06-24,264.8500061035156,266.8145875517548,241.58730126313924,267.70001220703125
2022-06-27,265.7899932861328,266.8145875517548,243.34756222569249,264.8900146484375
2022-06-28,261.61500549316406,266.8145875517548,243.34756222569249,256.4800109863281
2022-06-29,258.86499786376953,266.8145875517548,243.34756222569249,260.260009765625
2022-06-30,256.2149963378906,266.8145875517548,243.34756222569249,256.8299865722656
2022-07-01,257.1899948120117,266.8145875517548,243.34756222569249,259.5799865722656
2022-07-05,258.8600082397461,266.8145875517548,243.34756222569249,262.8500061035156
2022-07-06,265.1949920654297,266.8145875517548,243.40454932037008,266.2099914550781
2022-07-07,267.0399932861328,266.8145875517548,246.21659225210263,268.3999938964844
2022-07-08,265.69500732421875,266.8145875517548,246.21659225210263,267.6600036621094
2022-07-11,264.35499572753906,266.8145875517548,246.21659225210263,264.510009765625
2022-07-12,258.98999786376953,266.8145875517548,246.21659225210263,253.6699981689453
2022-07-13,250.8300018310547,266.8145875517548,246.21659225210263,252.72000122070312
2022-07-14,250.54000091552734,266.8145875517548,246.21659225210263,254.0800018310547
2022-07-15,257.5699996948242,266.8145875517548,246.21659225210263,256.7200012207031
2022-07-18,257.0699996948242,266.8145875517548,246.21659225210263,254.25
2022-07-19,256.6999969482422,266.8145875517548,246.21659225210263,259.5299987792969
2022-07-20,261.88999938964844,266.8145875517548,246.21659225210263,262.2699890136719
2022-07-21,260.9600067138672,266.8145875517548,246.21659225210263,264.8399963378906
2022-07-22,262.1999969482422,266.8145875517548,246.21659225210263,260.3599853515625
2022-07-25,259.1549987792969,266.8145875517548,246.21659225210263,258.8299865722656
2022-07-26,254.72500610351562,266.8145875517548,246.21659225210263,251.8999938964844
2022-07-27,264.4499969482422,266.8145875517548,246.21659225210263,268.739990234375
2022-07-28,272.85499572753906,266.8145875517548,247.5668087444233,276.4100036621094
2022-07-29,279.31500244140625,266.8145875517548,254.87863525523488,280.739990234375
2022-08-01,278.55999755859375,266.8145875517548,254.93526635861764,278.010009765625
2022-08-02,275.135009765625,266.8145875517548,254.93526635861764,274.82000732421875
2022-08-03,280.05499267578125,266.8145875517548,256.79486128270685,282.4700012207031
2022-08-04,281.98500061035156,266.8145875517548,259.96189004701426,283.6499938964844
2022-08-05,281.1649932861328,266.8145875517548,259.96189004701426,282.9100036621094
2022-08-08,282.62001037597656,266.8145875517548,261.45938865902883,280.32000732421875
2022-08-09,280.34498596191406,266.8145875517548,261.45938865902883,282.29998779296875
2022-08-10,288.375,266.8145875517548,267.504993149995,289.1600036621094
2022-08-11,288.86000061035156,266.8145875517548,268.66699993851114,287.0199890136719
2022-08-12,289.4250030517578,266.8145875517548,269.7603020808905,291.9100036621094
2022-08-15,292.1449890136719,266.8145875517548,273.22575594262565,293.4700012207031
2022-08-16,292.2300109863281,266.8145875517548,274.1167026872303,292.7099914550781
2022-08-17,291.4100036621094,266.8145875517548,274.1167026872303,291.32000732421875
2022-08-18,290.4949951171875,266.8145875517548,274.1167026872303,290.1700134277344
2022-08-19,287.4049987792969,266.8145875517548,274.1167026872303,286.1499938964844
2022-08-22,279.8399963378906,266.8145875517548,274.1167026872303,277.75
2022-08-23,277.12998962402344,266.8145875517548,274.1167026872303,276.44000244140625
2022-08-24,276.1699981689453,266.8145875517548,274.1167026872303,275.7900085449219
2022-08-25,276.7699890136719,266.8145875517548,274.1167026872303,278.8500061035156
2022-08-26,274.1600036621094,291.73432628088227,274.1167026872303,268.0899963378906
2022-08-29,265.625,282.7138874272081,274.1167026872303,265.2300109863281
2022-08-30,263.85499572753906,281.15198965128417,274.1167026872303,262.9700012207031
2022-08-31,264.21998596191406,281.15198965128417,274.1167026872303,261.4700012207031
2022-09-01,258.15000915527344,275.53917317149524,274.1167026872303,260.3999938964844
2022-09-02,259.60499572753906,275.53917317149524,274.1167026872303,256.0599975585937
2022-09-06,254.88499450683594,273.5101096329248,274.1167026872303,253.25
2022-09-07,256.0249938964844,273.5101096329248,274.1167026872303,258.0899963378906
2022-09-08,257.60999298095703,273.5101096329248,274.1167026872303,258.5199890136719
2022-09-09,262.760009765625,273.5101096329248,274.1167026872303,264.4599914550781
2022-09-12,266.3050079345703,273.5101096329248,274.1167026872303,266.6499938964844
2022-09-13,255.9949951171875,273.5101096329248,274.1167026872303,251.9900054931641
2022-09-14,252.0449981689453,271.61831585572793,274.1167026872303,252.22000122070312
2022-09-15,247.70999908447266,267.78598408704966,274.1167026872303,245.3800048828125
2022-09-16,243.68000030517578,262.7443890047607,274.1167026872303,244.7400054931641
2022-09-19,242.99500274658203,261.43995056204835,274.1167026872303,244.5200042724609
2022-09-20,241.5749969482422,259.6394514470056,274.1167026872303,242.4499969482422
2022-09-21,243.27999877929688,259.6394514470056,274.1167026872303,238.9499969482422
2022-09-22,240.71500396728516,259.5994127338421,274.1167026872303,240.97999572753903
2022-09-23,238.16500091552734,256.9399711857997,274.1167026872303,237.9199981689453
2022-09-26,239.17499542236328,256.9399711857997,274.1167026872303,237.4499969482422
2022-09-27,238.1500015258789,256.7762291843014,274.1167026872303,236.41000366210935
2022-09-28,238.52999877929688,256.7762291843014,274.1167026872303,241.07000732421875
2022-09-29,237.18000030517578,256.3172474550801,274.1167026872303,237.5
2022-09-30,236.63499450683594,256.20151620932796,274.1167026872303,232.8999938964844
2022-10-03,238.13500213623047,256.20151620932796,274.1167026872303,240.7400054931641
2022-10-04,247.6699981689453,256.20151620932796,274.1167026872303,248.8800048828125
2022-10-05,247.34000396728516,256.20151620932796,274.1167026872303,249.1999969482422
2022-10-06,248.20999908447266,256.20151620932796,274.1167026872303,246.7899932861328
2022-10-07,237.24500274658203,256.20151620932796,274.1167026872303,234.2400054931641
2022-10-10,230.64499664306638,252.95865666314884,274.1167026872303,229.25
2022-10-11,226.58499908447266,248.2092929194414,274.1167026872303,225.41000366210935
2022-10-12,225.91000366210938,246.54186628252657,274.1167026872303,225.75
2022-10-13,227.61500549316406,246.54186628252657,274.1167026872303,234.2400054931641
2022-10-14,232.79000091552737,246.54186628252657,274.1167026872303,228.55999755859372
2022-10-17,237.0500030517578,246.54186628252657,274.1167026872303,237.52999877929688
2022-10-18,239.64999389648438,246.54186628252657,274.1167026872303,238.5
2022-10-19,236.9499969482422,246.54186628252657,274.1167026872303,236.47999572753903
2022-10-20,238.08999633789062,246.54186628252657,274.1167026872303,236.1499938964844
2022-10-21,238.75,246.54186628252657,274.1167026872303,242.1199951171875
2022-10-24,244.56999969482422,246.54186628252657,221.32210181061063,247.25
2022-10-25,248.43499755859375,246.54186628252657,225.9488920262781,250.66000366210935
2022-10-26,234.18000030517578,246.54186628252657,225.9488920262781,231.32000732421875
2022-10-27,229.73500061035156,246.54186628252657,225.9488920262781,226.75
2022-10-28,231.32500457763672,246.54186628252657,225.9488920262781,235.8699951171875
2022-10-31,233.03499603271484,246.54186628252657,225.9488920262781,232.1300048828125
2022-11-01,231.53500366210938,246.54186628252657,225.9488920262781,228.1699981689453
2022-11-02,225.6699981689453,251.92914176368447,225.9488920262781,220.1000061035156
2022-11-03,217.1949996948242,242.75723131046053,225.9488920262781,214.25
2022-11-04,217.50999450683594,242.75723131046053,225.9488920262781,221.38999938964844
2022-11-07,224.84500122070312,242.75723131046053,225.9488920262781,227.8699951171875
2022-11-08,228.74499511718753,242.75723131046053,225.9488920262781,228.8699951171875
2022-11-09,226.4800033569336,242.75723131046053,225.9488920262781,224.50999450683597
2022-11-10,239.16500091552734,242.75723131046053,212.6216633888664,242.97999572753903
2022-11-11,244.95999908447266,242.75723131046053,219.25299146526294,247.1100006103516

Answer: 73.8739