12032.84 is what percent of 13259.72 - 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 13259.72 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 13259.72, so we can write it down as 100%=13259.72.
4. We know, that x% equals 12032.84 of the output value, so we can write it down as x%=12032.84.
5. Now we have two simple equations:
1) 100%=13259.72
2) x%=12032.84
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%=13259.72/12032.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12032.84 is what percent of 13259.72

100%/x%=13259.72/12032.84
(100/x)*x=(13259.72/12032.84)*x       - we multiply both sides of the equation by x
100=1.1019609668208*x       - we divide both sides of the equation by (1.1019609668208) to get x
100/1.1019609668208=x
90.747315931256=x
x=90.747315931256

now we have:
12032.84 is 90.747315931256% of 13259.72