20240.2 is what percent of 157107.46 - 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 157107.46 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 157107.46, so we can write it down as 100%=157107.46.
4. We know, that x% equals 20240.2 of the output value, so we can write it down as x%=20240.2.
5. Now we have two simple equations:
1) 100%=157107.46
2) x%=20240.2
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%=157107.46/20240.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20240.2 is what percent of 157107.46

100%/x%=157107.46/20240.2
(100/x)*x=(157107.46/20240.2)*x       - we multiply both sides of the equation by x
100=7.7621495835021*x       - we divide both sides of the equation by (7.7621495835021) to get x
100/7.7621495835021=x
12.883029233621=x
x=12.883029233621

now we have:
20240.2 is 12.883029233621% of 157107.46