92.5 is what percent of 398 - 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 398 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 398, so we can write it down as 100%=398.
4. We know, that x% equals 92.5 of the output value, so we can write it down as x%=92.5.
5. Now we have two simple equations:
1) 100%=398
2) x%=92.5
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%=398/92.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 92.5 is what percent of 398

100%/x%=398/92.5
(100/x)*x=(398/92.5)*x       - we multiply both sides of the equation by x
100=4.3027027027027*x       - we divide both sides of the equation by (4.3027027027027) to get x
100/4.3027027027027=x
23.241206030151=x
x=23.241206030151

now we have:
92.5 is 23.241206030151% of 398