Figuring out Percent of decimals

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This may seem really juvenile but I honestly am struggling.

I remember in school being taught this:

1% = X / 100

Then to figure out any percent times 1% by Y.

But if I substitute X to be 9.25 and Y to be 9.02 things get confusing.

9.25 / 100 = 0.0925 # this should be 1%
0.0925 * 9.02 = 0.83435

This led me to believe maybe if I * by 100 (to get 83.435%) I'd get the right answer. However I went onto this website: https://www.marshu.com/articles/calculate-percent-with-simple-number-percentage-calculator.php

and entering the values above it outputs 97.51% so now I'm a bit lost.

Sorry if this is really trivial, my maths level seems to be deteriorating the less I use certain areas :)

quick edit

I see that on their website the formula is

(X/Y) * 100

which in my case, using my numbers where X = 9.02 and Y = 9.25 it outputs 97.51% - however, was my maths eductation in school wrong for figuring out a percent with the (X / 100) * Y formula?

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Your two formulas are for two different things.

X/100 *Y will get you Y-percent of X.

To work out the percentage Y is of X then you do Y/X *100.

So when you have X = 9.25, Y = 9.02, then Y is 97.51% of X.

Where you have done 0.0925*9.02, that is you calculating 9.02% of X.

Let me know if that doesn't make sense.