83.62 is what percent of 92.5 - 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 92.5 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 92.5, so we can write it down as 100%=92.5.
4. We know, that x% equals 83.62 of the output value, so we can write it down as x%=83.62.
5. Now we have two simple equations:
1) 100%=92.5
2) x%=83.62
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%=92.5/83.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.62 is what percent of 92.5

100%/x%=92.5/83.62
(100/x)*x=(92.5/83.62)*x       - we multiply both sides of the equation by x
100=1.1061946902655*x       - we divide both sides of the equation by (1.1061946902655) to get x
100/1.1061946902655=x
90.4=x
x=90.4

now we have:
83.62 is 90.4% of 92.5