25.54 is what percent of 832.02 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 832.02 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 832.02, so we can write it down as 100%=832.02.
4. We know, that x% equals 25.54 of the output value, so we can write it down as x%=25.54.
5. Now we have two simple equations:
1) 100%=832.02
2) x%=25.54
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=832.02/25.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.54 is what percent of 832.02

100%/x%=832.02/25.54
(100/x)*x=(832.02/25.54)*x       - we multiply both sides of the equation by x
100=32.577133907596*x       - we divide both sides of the equation by (32.577133907596) to get x
100/32.577133907596=x
3.0696377490926=x
x=3.0696377490926

now we have:
25.54 is 3.0696377490926% of 832.02