13825.42 is what percent of 32422.6 - 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 32422.6 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 32422.6, so we can write it down as 100%=32422.6.
4. We know, that x% equals 13825.42 of the output value, so we can write it down as x%=13825.42.
5. Now we have two simple equations:
1) 100%=32422.6
2) x%=13825.42
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%=32422.6/13825.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13825.42 is what percent of 32422.6

100%/x%=32422.6/13825.42
(100/x)*x=(32422.6/13825.42)*x       - we multiply both sides of the equation by x
100=2.3451439449941*x       - we divide both sides of the equation by (2.3451439449941) to get x
100/2.3451439449941=x
42.641305755862=x
x=42.641305755862

now we have:
13825.42 is 42.641305755862% of 32422.6