9722.25 is what percent of 13842.64 - 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 13842.64 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 13842.64, so we can write it down as 100%=13842.64.
4. We know, that x% equals 9722.25 of the output value, so we can write it down as x%=9722.25.
5. Now we have two simple equations:
1) 100%=13842.64
2) x%=9722.25
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%=13842.64/9722.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9722.25 is what percent of 13842.64

100%/x%=13842.64/9722.25
(100/x)*x=(13842.64/9722.25)*x       - we multiply both sides of the equation by x
100=1.4238103319705*x       - we divide both sides of the equation by (1.4238103319705) to get x
100/1.4238103319705=x
70.234073847185=x
x=70.234073847185

now we have:
9722.25 is 70.234073847185% of 13842.64