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Your numbers are still off for a year.

    99.9997089 = 100 - 153/(365*24*60)
    99.9708904 = 100 - 100*153/(365*24*60)
The formula is 100% minus 100% times downtime/time in month/year.

153 is the number of minutes they were down going off the reported updates at https://status.aws.amazon.com/ - 11:35AM PST was when they fixed the status page, 2:08PM PST was when S3 was fully back online. (And 153 is underestimating it, because there were errors going on for long before they fixed the status page, but I don't have timestamps on that.)




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