220.42 is what percent of 2523.3 - 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 2523.3 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 2523.3, so we can write it down as 100%=2523.3.
4. We know, that x% equals 220.42 of the output value, so we can write it down as x%=220.42.
5. Now we have two simple equations:
1) 100%=2523.3
2) x%=220.42
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%=2523.3/220.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 220.42 is what percent of 2523.3

100%/x%=2523.3/220.42
(100/x)*x=(2523.3/220.42)*x       - we multiply both sides of the equation by x
100=11.447690772162*x       - we divide both sides of the equation by (11.447690772162) to get x
100/11.447690772162=x
8.7353862006103=x
x=8.7353862006103

now we have:
220.42 is 8.7353862006103% of 2523.3