15.62 is what percent of 85.22 - 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 85.22 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 85.22, so we can write it down as 100%=85.22.
4. We know, that x% equals 15.62 of the output value, so we can write it down as x%=15.62.
5. Now we have two simple equations:
1) 100%=85.22
2) x%=15.62
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%=85.22/15.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.62 is what percent of 85.22

100%/x%=85.22/15.62
(100/x)*x=(85.22/15.62)*x       - we multiply both sides of the equation by x
100=5.4558258642766*x       - we divide both sides of the equation by (5.4558258642766) to get x
100/5.4558258642766=x
18.329030743957=x
x=18.329030743957

now we have:
15.62 is 18.329030743957% of 85.22