[Galaxy S III Q&A, Help & Troubleshooting] itm:
Here's the output from BetterBatteryStats, for a period of about 3 hours after unplugging the phone. During this time it was turned on very briefly a couple of times to check notifications, and was within 10 feet of the wifi router.

===================

General Information

===================

BetterBatteryStats version: 1.8.1.0

Creation Date: 2012-07-06 12:43:46

Statistic Type: (3) Since Unplugged

Since 3 h 19 m 46 s

VERSION.RELEASE: 4.0.4

BRAND: samsung

DEVICE: m0

MANUFACTURER: samsung

MODEL: GT-I9300

BOOTLOADER: I9300XXALE8

FINGERPRINT: samsung/m0xx/m0:4.0.4/IMM76D/I9300XXALE8:user/release-keys

HARDWARE: smdk4x12

ID: IMM76D

TAGS: release-keys

USER: se.infra

PRODUCT: m0xx

RADIO: I9300NELE4

Rooted: true

===========

Other Usage

===========

Wifi On (): 3 h 19 m 46 s (11986 s) Ratio: 100.0%

Poor Signal (): 3 h 4 m 31 s (11071 s) Ratio: 92.4%

Deep Sleep (): 2 h 54 m 59 s (10499 s) Ratio: 87.6%

Awake (): 24 m 47 s (1487 s) Ratio: 12.4%

Wifi Running (): 16 m 8 s (968 s) Ratio: 8.1%

No Data Connection (): 15 m 14 s (914 s) Ratio: 7.6%

No or Unknown Signal (): 15 m 14 s (914 s) Ratio: 7.6%

Screen On (): 15 s (15 s) Ratio: 0.1%

=========

Wakelocks

=========

*sync*_gmail-ls_Account {name=EM, type=com.google} (com.google.android.gm.Gmail): 4 m 48 s (288 s) Count:47 2.4%

GmailProviderProviderChangedBroadcastWakeLock (com.google.android.gm.Gmail): 53 s (53 s) Count:79 0.4%

SyncLoopWakeLock (Android System): 52 s (52 s) Count:485 0.4%

*backup* (Android System): 27 s (27 s) Count:84 0.2%

NetworkLocationActiveCollector (com.google.android.apps.maps.Maps): 26 s (26 s) Count:10 0.2%

com.bellshare.util.WakefulIntentService (com.bellshare.beweather.BeWeather Pro): 23 s (23 s) Count:3 0.2%

FacebookService (com.facebook.katana.Facebook): 23 s (23 s) Count:6 0.2%

AlarmManager (Android System): 17 s (17 s) Count:291 0.1%

sleep_broadcast (Android System): 8 s (8 s) Count:80 0.1%

NetworkLocationPassiveCollector (com.google.android.apps.maps.Maps): 8 s (8 s) Count:9 0.1%

*sync*_com.android.contacts_Account {name=EM, type=com.google} (Google Services): 7 s (7 s) Count:62 0.1%

GTALK_CONN (Google Services): 6 s (6 s) Count:221 0.1%

DHCP (Android System): 5 s (5 s) Count:81 0.0%

DownloadManager (Media): 4 s (4 s) Count:2 0.0%

GOOGLE_C2DM (Google Services): 4 s (4 s) Count:49 0.0%

NetworkLocationBurstCollector (com.google.android.apps.maps.Maps): 4 s (4 s) Count:11 0.0%

My Tag (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 4 s (4 s) Count:49 0.0%

RILS (com.sec.phone.SecPhone): 4 s (4 s) Count:1 0.0%

EM/android_talk14c111ed2ffe (Google Services): 3 s (3 s) Count:1 0.0%

Push Thread:6866 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 3 s (3 s) Count:45 0.0%

Push Thread:6793 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 3 s (3 s) Count:55 0.0%

Push Thread:6831 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 3 s (3 s) Count:44 0.0%

AudioOut_1 (1013): 2 s (2 s) Count:1 0.0%

GTALK_ASYNC_CONN_com.google.android.gsf.gtalkservice.AndroidEndpoint (Google Services): 1 s (1 s) Count:229 0.0%

NetworkStats (Android System): 1 s (1 s) Count:23 0.0%

Push Thread:6865 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 1 s (1 s) Count:50 0.0%

Push Service:1 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 1 s (1 s) Count:18 0.0%

Push Thread:6669 (com.nitrodesk.droid20.nitroid.TouchDown for SmartPhones): 1 s (1 s) Count:1 0.0%

WifiStateMachine (Android System): 1 s (1 s) Count:94 0.0%

GpsLocationProvider (Android System): 1 s (1 s) Count:76 0.0%

================

Kernel Wakelocks

================

"multipdp" (): 18 m 3 s (1083 s) Cnt:(c/wc/ec)97/0/96 9.0%

"secril_fd-interface" (): 9 m 32 s (572 s) Cnt:(c/wc/ec)153/0/0 4.8%

"PowerManagerService" (): 8 m 37 s (517 s) Cnt:(c/wc/ec)370/0/0 4.3%

"l2_hsic" (): 5 m 13 s (313 s) Cnt:(c/wc/ec)830/75/829 2.6%

"battery-monitor" (): 3 m 7 s (187 s) Cnt:(c/wc/ec)186/0/187 1.6%

"alarm_rtc" (): 1 m 42 s (102 s) Cnt:(c/wc/ec)178/0/65 0.9%

"wlan_rx_wake" (): 1 m 3 s (63 s) Cnt:(c/wc/ec)50/0/49 0.5%

"alarm" (): 46 s (46 s) Cnt:(c/wc/ec)213/0/0 0.4%

"rpm_hsic" (): 46 s (46 s) Cnt:(c/wc/ec)638/0/0 0.4%

"GPS" (): 43 s (43 s) Cnt:(c/wc/ec)1/0/0 0.4%

"wlan_wake" (): 16 s (16 s) Cnt:(c/wc/ec)149802/110/0 0.1%

"tx_hsic" (): 11 s (11 s) Cnt:(c/wc/ec)1021/0/0 0.1%

"umts_rfs0" (): 8 s (8 s) Cnt:(c/wc/ec)3/0/3 0.1%

"AudioOutLock" (): 4 s (4 s) Cnt:(c/wc/ec)1/0/0 0.0%

"umts_ipc0" (): 3 s (3 s) Cnt:(c/wc/ec)10/0/10 0.0%

"vib_present" (): 3 s (3 s) Cnt:(c/wc/ec)2/0/0 0.0%

"radio-interface" (): 2 s (2 s) Cnt:(c/wc/ec)4/0/0 0.0%

"event1-2108" (): 1 s (1 s) Cnt:(c/wc/ec)2/0/0 0.0%

"efsd-interface" (): (0 s) Cnt:(c/wc/ec)6/0/0 0.0%

"event10-2108" (): (0 s) Cnt:(c/wc/ec)1848/0/0 0.0%

"event4-2108" (): (0 s) Cnt:(c/wc/ec)865/0/0 0.0%

"secril_rfs-interface" (): (0 s) Cnt:(c/wc/ec)3/0/0 0.0%

"event5-2108" (): (0 s) Cnt:(c/wc/ec)604/0/0 0.0%

"sync_system" (): (0 s) Cnt:(c/wc/ec)2/0/0 0.0%

"power-supply" (): (0 s) Cnt:(c/wc/ec)216/0/0 0.0%

"secril_fmt-interface" (): (0 s) Cnt:(c/wc/ec)22/0/0 0.0%

"KeyEvents" (): (0 s) Cnt:(c/wc/ec)239/0/0 0.0%

"mmc1_detect" (): (0 s) Cnt:(c/wc/ec)198/0/0 0.0%

"mmc0_detect" (): (0 s) Cnt:(c/wc/ec)198/0/0 0.0%