Question: Calculate the percentage of days where Starbucks's high was less than the lower channel of SuperTrend from December 16, 2023 to March 20, 2024. (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
2023-10-06,93.33999633789062,91.68000030517578,92.8499984741211
2023-10-09,92.79000091552734,91.43000030517578,92.68000030517578
2023-10-10,93.97000122070312,92.87000274658205,93.18000030517578
2023-10-11,93.62999725341795,91.8499984741211,91.9499969482422
2023-10-12,92.25,90.7699966430664,91.41999816894533
2023-10-13,92.05999755859376,91.0500030517578,91.4800033569336
2023-10-16,93.86000061035156,91.8499984741211,93.6500015258789
2023-10-17,94.19000244140624,92.62999725341795,94.18000030517578
2023-10-18,94.52999877929688,93.5,93.75
2023-10-19,95.66000366210938,94.16999816894533,94.41999816894533
2023-10-20,95.08999633789062,94.13999938964844,94.19000244140624
2023-10-23,95.02999877929688,93.29000091552734,94.1999969482422
2023-10-24,94.9800033569336,94.05999755859376,94.62000274658205
2023-10-25,95.36000061035156,93.97000122070312,94.0
2023-10-26,94.4800033569336,92.5999984741211,92.66999816894533
2023-10-27,93.7300033569336,91.7699966430664,92.0199966430664
2023-10-30,93.70999908447266,92.72000122070312,93.1500015258789
2023-10-31,93.31999969482422,92.0,92.23999786376952
2023-11-01,91.86000061035156,90.5500030517578,91.3499984741211
2023-11-02,101.91999816894533,99.73999786376952,100.01000213623048
2023-11-03,103.7699966430664,100.5,102.6500015258789
2023-11-06,104.08999633789062,101.97000122070312,104.02999877929688
2023-11-07,104.38999938964844,103.33000183105467,103.68000030517578
2023-11-08,104.81999969482422,103.6500015258789,104.3000030517578
2023-11-09,104.45999908447266,102.02999877929688,102.2300033569336
2023-11-10,104.3499984741211,101.9800033569336,104.33000183105467
2023-11-13,104.2300033569336,102.95999908447266,103.51000213623048
2023-11-14,105.81999969482422,104.23999786376952,105.5999984741211
2023-11-15,106.54000091552734,105.66000366210938,106.02999877929688
2023-11-16,107.66000366210938,106.1999969482422,107.20999908447266
2023-11-17,107.5,105.4800033569336,105.56999969482422
2023-11-20,105.47000122070312,103.86000061035156,104.3000030517578
2023-11-21,104.68000030517578,103.16999816894533,103.69000244140624
2023-11-22,104.68000030517578,103.27999877929688,103.44000244140624
2023-11-24,103.5999984741211,102.47000122070312,102.77999877929688
2023-11-27,103.08999633789062,102.06999969482422,102.36000061035156
2023-11-28,102.0500030517578,100.88999938964844,101.18000030517578
2023-11-29,101.69000244140624,99.52999877929688,99.8499984741211
2023-11-30,100.12000274658205,98.41999816894533,99.3000030517578
2023-12-01,99.27999877929688,97.5199966430664,99.1999969482422
2023-12-04,98.87999725341795,96.7699966430664,97.5999984741211
2023-12-05,97.4800033569336,94.8499984741211,95.54000091552734
2023-12-06,97.16999816894533,95.47000122070312,97.0199966430664
2023-12-07,97.6999969482422,96.2699966430664,96.44000244140624
2023-12-08,96.86000061035156,95.80999755859376,96.61000061035156
2023-12-11,99.01000213623048,97.22000122070312,98.12000274658205
2023-12-12,98.5999984741211,97.43000030517578,98.1500015258789
2023-12-13,98.63999938964844,96.81999969482422,98.11000061035156
2023-12-14,98.79000091552734,97.1500015258789,97.83999633789062
2023-12-15,98.23999786376952,96.55999755859376,96.75
2023-12-18,97.31999969482422,95.91999816894533,96.55999755859376
2023-12-19,98.0500030517578,96.94000244140624,97.72000122070312
2023-12-20,96.87999725341795,94.6500015258789,94.70999908447266
2023-12-21,95.44000244140624,94.47000122070312,95.33000183105467
2023-12-22,95.83000183105467,94.33999633789062,95.27999877929688
2023-12-26,95.69000244140624,94.95999908447266,95.66999816894533
2023-12-27,95.77999877929688,94.79000091552734,95.29000091552734
2023-12-28,95.97000122070312,95.11000061035156,95.93000030517578
2023-12-29,96.3499984741211,95.3499984741211,96.01000213623048
2024-01-02,95.9499969482422,93.62000274658205,93.66999816894533
2024-01-03,94.23999786376952,93.05999755859376,93.2300033569336
2024-01-04,94.58000183105467,93.0,93.5500030517578
2024-01-05,93.58000183105467,92.4800033569336,92.98999786376952
2024-01-08,94.56999969482422,92.9499969482422,94.19000244140624
2024-01-09,93.7300033569336,92.86000061035156,93.08999633789062
2024-01-10,93.69000244140624,92.87999725341795,93.5
2024-01-11,93.63999938964844,91.9000015258789,92.94000244140624
2024-01-12,93.4000015258789,91.7699966430664,91.9800033569336
2024-01-16,92.7300033569336,91.7300033569336,92.6999969482422
2024-01-17,91.95999908447266,91.4000015258789,91.7699966430664
2024-01-18,93.43000030517578,91.81999969482422,93.33999633789062
2024-01-19,94.23999786376952,92.63999938964844,93.86000061035156
2024-01-22,93.91999816894533,92.80999755859376,93.06999969482422
2024-01-23,93.6500015258789,91.7699966430664,91.97000122070312
2024-01-24,92.83999633789062,91.98999786376952,92.04000091552734
2024-01-25,92.6500015258789,91.72000122070312,92.61000061035156
2024-01-26,93.48999786376952,92.41000366210938,92.8000030517578
2024-01-29,93.93000030517578,92.23999786376952,93.8000030517578
2024-01-30,94.68000030517578,92.58999633789062,94.08000183105467
2024-01-31,98.36000061035156,93.0199966430664,93.02999877929688
2024-02-01,93.5999984741211,91.87000274658205,93.37000274658205
2024-02-02,93.61000061035156,91.66999816894533,92.98999786376952
2024-02-05,92.87000274658205,91.9000015258789,92.51000213623048
2024-02-06,95.6999969482422,92.3499984741211,95.66999816894533
2024-02-07,96.66000366210938,94.43000030517578,95.30999755859376
2024-02-08,96.69000244140624,93.93000030517578,96.58999633789062
2024-02-09,97.98999786376952,96.29000091552734,97.3000030517578
2024-02-12,97.13999938964844,95.37999725341795,95.47000122070312
2024-02-13,95.55999755859376,93.38999938964844,93.87000274658205
2024-02-14,94.47000122070312,93.76000213623048,94.06999969482422
2024-02-15,94.23999786376952,93.0,93.22000122070312
2024-02-16,94.18000030517578,92.75,93.22000122070312
2024-02-20,94.12000274658205,93.06999969482422,93.45999908447266
2024-02-21,95.7699966430664,93.7699966430664,95.0199966430664
2024-02-22,96.08000183105467,94.13999938964844,95.77999877929688
2024-02-23,96.93000030517578,95.58000183105467,95.62000274658205
2024-02-26,95.56999969482422,94.25,94.27999877929688
2024-02-27,94.66000366210938,93.5999984741211,94.12999725341795
2024-02-28,93.97000122070312,92.7699966430664,93.0
2024-02-29,95.0999984741211,93.9800033569336,94.9000015258789
2024-03-01,94.56999969482422,92.91000366210938,93.16000366210938
2024-03-04,93.31999969482422,92.04000091552734,92.45999908447266
2024-03-05,92.16999816894533,91.06999969482422,91.22000122070312
2024-03-06,92.02999877929688,91.12000274658205,91.6500015258789
2024-03-07,91.76000213623048,90.30999755859376,90.9499969482422
2024-03-08,91.52999877929688,90.5999984741211,91.05999755859376
2024-03-11,92.95999908447266,91.16999816894533,92.06999969482422
2024-03-12,92.72000122070312,91.20999908447266,92.4000015258789
2024-03-13,92.87000274658205,90.87000274658205,91.61000061035156
2024-03-14,91.70999908447266,90.41000366210938,91.66000366210938
2024-03-15,92.0199966430664,90.0999984741211,90.12000274658205
2024-03-18,91.43000030517578,90.52999877929688,91.01000213623048
2024-03-19,91.9000015258789,90.86000061035156,91.58999633789062
2024-03-20,92.62999725341795,91.5199966430664,92.5999984741211

Indicator data:
date,Middle,Upper,Lower,high
2023-10-20,94.61499786376953,99.57099990844728,90.25900192260741,95.08999633789062
2023-10-23,94.15999984741211,99.57099990844728,90.25900192260741,95.02999877929688
2023-10-24,94.52000045776367,99.57099990844728,90.25900192260741,94.9800033569336
2023-10-25,94.66500091552734,99.57099990844728,90.31421478034973,95.36000061035156
2023-10-26,93.54000091552734,99.57099990844728,90.31421478034973,94.4800033569336
2023-10-27,92.75,99.57099990844728,90.31421478034973,93.7300033569336
2023-10-30,93.21500015258789,99.57099990844728,90.31421478034973,93.70999908447266
2023-10-31,92.65999984741211,99.57099990844728,90.31421478034973,93.31999969482422
2023-11-01,91.20500183105469,99.57099990844728,90.31421478034973,91.86000061035156
2023-11-02,100.82999801635742,99.57099990844728,93.48132456795817,101.91999816894533
2023-11-03,102.1349983215332,99.57099990844728,94.3931938659231,103.7699966430664
2023-11-06,103.02999877929688,99.57099990844728,95.42637623409152,104.08999633789062
2023-11-07,103.86000061035156,99.57099990844728,96.69874105208862,104.38999938964844
2023-11-08,104.23500061035156,99.57099990844728,97.43886755723132,104.81999969482422
2023-11-09,103.24499893188477,99.57099990844728,97.43886755723132,104.45999908447266
2023-11-10,103.16500091552734,99.57099990844728,97.43886755723132,104.3499984741211
2023-11-13,103.59500122070312,99.57099990844728,97.43886755723132,104.2300033569336
2023-11-14,105.02999877929688,99.57099990844728,98.40080599377092,105.81999969482422
2023-11-15,106.10000228881836,99.57099990844728,99.85172804942312,106.54000091552734
2023-11-16,106.93000030517578,99.57099990844728,100.8175520248763,107.66000366210938
2023-11-17,106.4900016784668,99.57099990844728,100.8175520248763,107.5
2023-11-20,104.66500091552734,99.57099990844728,100.8175520248763,105.47000122070312
2023-11-21,103.92499923706055,99.57099990844728,100.8175520248763,104.68000030517578
2023-11-22,103.97999954223633,99.57099990844728,100.8175520248763,104.68000030517578
2023-11-24,103.03499984741211,99.57099990844728,100.8175520248763,103.5999984741211
2023-11-27,102.57999801635742,99.57099990844728,100.8175520248763,103.08999633789062
2023-11-28,101.47000122070312,99.57099990844728,100.8175520248763,102.0500030517578
2023-11-29,100.61000061035156,105.88663135516933,100.8175520248763,101.69000244140624
2023-11-30,99.27000045776369,104.52896950139069,100.8175520248763,100.12000274658205
2023-12-01,98.39999771118164,103.66707177305337,100.8175520248763,99.27999877929688
2023-12-04,97.82499694824219,103.29436369547948,100.8175520248763,98.87999725341795
2023-12-05,96.16500091552734,101.9124309880409,100.8175520248763,97.4800033569336
2023-12-06,96.31999969482422,101.9124309880409,100.8175520248763,97.16999816894533
2023-12-07,96.9849967956543,101.9124309880409,100.8175520248763,97.6999969482422
2023-12-08,96.33499908447266,101.6390758636827,100.8175520248763,96.86000061035156
2023-12-11,98.1150016784668,101.6390758636827,100.8175520248763,99.01000213623048
2023-12-12,98.01499938964844,101.6390758636827,100.8175520248763,98.5999984741211
2023-12-13,97.72999954223633,101.6390758636827,100.8175520248763,98.63999938964844
2023-12-14,97.97000122070312,101.6390758636827,100.8175520248763,98.79000091552734
2023-12-15,97.39999771118164,101.6390758636827,100.8175520248763,98.23999786376952
2023-12-18,96.61999893188477,101.6390758636827,100.8175520248763,97.31999969482422
2023-12-19,97.49500274658202,101.6390758636827,100.8175520248763,98.0500030517578
2023-12-20,95.76499938964844,101.25526640337405,100.8175520248763,96.87999725341795
2023-12-21,94.95500183105469,100.18724250961867,100.8175520248763,95.44000244140624
2023-12-22,95.08499908447266,100.18724250961867,100.8175520248763,95.83000183105467
2023-12-26,95.32500076293945,100.18441820281065,100.8175520248763,95.69000244140624
2023-12-27,95.28499984741211,99.95547490242704,100.8175520248763,95.77999877929688
2023-12-28,95.54000091552734,99.95547490242704,100.8175520248763,95.97000122070312
2023-12-29,95.8499984741211,99.95547490242704,100.8175520248763,96.3499984741211
2024-01-02,94.78499984741212,99.38575612772797,100.8175520248763,95.9499969482422
2024-01-03,93.64999771118164,98.14467845501864,100.8175520248763,94.23999786376952
2024-01-04,93.79000091552734,98.14467845501864,100.8175520248763,94.58000183105467
2024-01-05,93.03000259399414,97.42729403312319,100.8175520248763,93.58000183105467
2024-01-08,93.7599983215332,97.42729403312319,100.8175520248763,94.56999969482422
2024-01-09,93.29500198364258,97.42729403312319,100.8175520248763,93.7300033569336
2024-01-10,93.2849998474121,97.42729403312319,100.8175520248763,93.69000244140624
2024-01-11,92.77000045776367,97.0732491764877,100.8175520248763,93.63999938964844
2024-01-12,92.58499908447266,96.94692439616804,100.8175520248763,93.4000015258789
2024-01-16,92.2300033569336,96.45573613745944,100.8175520248763,92.7300033569336
2024-01-17,91.68000030517578,95.87315843435803,100.8175520248763,91.95999908447266
2024-01-18,92.625,95.87315843435803,100.8175520248763,93.43000030517578
2024-01-19,93.43999862670898,95.87315843435803,100.8175520248763,94.23999786376952
2024-01-22,93.36499786376955,95.87315843435803,100.8175520248763,93.91999816894533
2024-01-23,92.70999908447266,95.87315843435803,100.8175520248763,93.6500015258789
2024-01-24,92.41499710083008,95.87315843435803,100.8175520248763,92.83999633789062
2024-01-25,92.18500137329102,95.87315843435803,100.8175520248763,92.6500015258789
2024-01-26,92.95000076293945,95.87315843435803,100.8175520248763,93.48999786376952
2024-01-29,93.08499908447266,95.87315843435803,100.8175520248763,93.93000030517578
2024-01-30,93.6349983215332,95.87315843435803,100.8175520248763,94.68000030517578
2024-01-31,95.68999862670898,95.87315843435803,100.8175520248763,98.36000061035156
2024-02-01,92.73500061035156,95.87315843435803,100.8175520248763,93.5999984741211
2024-02-02,92.63999938964844,95.87315843435803,100.8175520248763,93.61000061035156
2024-02-05,92.38500213623047,95.87315843435803,100.8175520248763,92.87000274658205
2024-02-06,94.02499771118164,95.87315843435803,100.8175520248763,95.6999969482422
2024-02-07,95.54500198364258,95.87315843435803,100.8175520248763,96.66000366210938
2024-02-08,95.31000137329102,95.87315843435803,89.23165771929754,96.69000244140624
2024-02-09,97.13999938964844,95.87315843435803,91.15949101658167,97.98999786376952
2024-02-12,96.2599983215332,95.87315843435803,91.15949101658167,97.13999938964844
2024-02-13,94.4749984741211,95.87315843435803,91.15949101658167,95.55999755859376
2024-02-14,94.1150016784668,95.87315843435803,91.15949101658167,94.47000122070312
2024-02-15,93.61999893188477,95.87315843435803,91.15949101658167,94.23999786376952
2024-02-16,93.46500015258789,95.87315843435803,91.15949101658167,94.18000030517578
2024-02-20,93.59500122070312,95.87315843435803,91.15949101658167,94.12000274658205
2024-02-21,94.7699966430664,95.87315843435803,91.15949101658167,95.7699966430664
2024-02-22,95.11000061035156,95.87315843435803,91.15949101658167,96.08000183105467
2024-02-23,96.25500106811523,95.87315843435803,91.15949101658167,96.93000030517578
2024-02-26,94.90999984741211,95.87315843435803,91.15949101658167,95.56999969482422
2024-02-27,94.13000106811523,95.87315843435803,91.15949101658167,94.66000366210938
2024-02-28,93.36999893188477,95.87315843435803,91.15949101658167,93.97000122070312
2024-02-29,94.54000091552734,95.87315843435803,91.15949101658167,95.0999984741211
2024-03-01,93.7400016784668,95.87315843435803,91.15949101658167,94.56999969482422
2024-03-04,92.68000030517578,95.87315843435803,91.15949101658167,93.31999969482422
2024-03-05,91.61999893188477,95.87315843435803,91.15949101658167,92.16999816894533
2024-03-06,91.57500076293945,95.87315843435803,91.15949101658167,92.02999877929688
2024-03-07,91.03499984741212,95.66156424499155,91.15949101658167,91.76000213623048
2024-03-08,91.06499862670898,95.50790667608321,91.15949101658167,91.52999877929688
2024-03-11,92.06499862670898,95.50790667608321,91.15949101658167,92.95999908447266
2024-03-12,91.96500015258789,95.50790667608321,91.15949101658167,92.72000122070312
2024-03-13,91.87000274658205,95.50790667608321,91.15949101658167,92.87000274658205
2024-03-14,91.06000137329102,95.50790667608321,91.15949101658167,91.70999908447266
2024-03-15,91.05999755859375,95.50790667608321,91.15949101658167,92.0199966430664
2024-03-18,90.97999954223633,95.50790667608321,91.15949101658167,91.43000030517578
2024-03-19,91.38000106811523,95.50790667608321,91.15949101658167,91.9000015258789
2024-03-20,92.07499694824219,95.50790667608321,91.15949101658167,92.62999725341795

Answer: 45.1923