53.22 is what percent of 61.5 - 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 61.5 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 61.5, so we can write it down as 100%=61.5.
4. We know, that x% equals 53.22 of the output value, so we can write it down as x%=53.22.
5. Now we have two simple equations:
1) 100%=61.5
2) x%=53.22
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%=61.5/53.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.22 is what percent of 61.5

100%/x%=61.5/53.22
(100/x)*x=(61.5/53.22)*x       - we multiply both sides of the equation by x
100=1.1555806087937*x       - we divide both sides of the equation by (1.1555806087937) to get x
100/1.1555806087937=x
86.536585365854=x
x=86.536585365854

now we have:
53.22 is 86.536585365854% of 61.5