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Editorial Team
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Editorial Team
Asked: May 29, 20262026-05-29T23:50:34+00:00 2026-05-29T23:50:34+00:00

When using excel if I calculate 6/100 to get the percentage value it returns

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When using excel if I calculate 6/100 to get the percentage value it returns 0.060000
but when i do the same calc in objective-c I get 0.059999998658895493

Does anyone know why there is a difference?

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  1. Editorial Team
    Editorial Team
    2026-05-29T23:50:35+00:00Added an answer on May 29, 2026 at 11:50 pm

    Floating point values cannot represent all fractional numbers exactly. This the same behavior we see with some numbers in decimal, 1/3 can not be represented exactly in decimal, it is only approximated as 0.33333333…

    Computer fractional numbers are base 2 where our decimal numbers are base 10. Different fractional numbers can be represented with complete accuracy in different bases.

    Because of this there is a number class in Cocoa, NSDecimalNumber that operates in base 10 and can represent 6/100 exactly as 0.060000

    The difference you see in Excel could be either because it is using decimal math (probably not) or that it is rounding the number so that the display inaccuracy is not apparent.

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