9.62 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 9.62 of the output value, so we can write it down as x%=9.62.
5. Now we have two simple equations:
1) 100%=92.5
2) x%=9.62
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%=92.5/9.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.62 is what percent of 92.5

100%/x%=92.5/9.62
(100/x)*x=(92.5/9.62)*x       - we multiply both sides of the equation by x
100=9.6153846153846*x       - we divide both sides of the equation by (9.6153846153846) to get x
100/9.6153846153846=x
10.4=x
x=10.4

now we have:
9.62 is 10.4% of 92.5