160812.5 is what percent of 1050309.88 - 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 1050309.88 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 1050309.88, so we can write it down as 100%=1050309.88.
4. We know, that x% equals 160812.5 of the output value, so we can write it down as x%=160812.5.
5. Now we have two simple equations:
1) 100%=1050309.88
2) x%=160812.5
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%=1050309.88/160812.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 160812.5 is what percent of 1050309.88

100%/x%=1050309.88/160812.5
(100/x)*x=(1050309.88/160812.5)*x       - we multiply both sides of the equation by x
100=6.531270143801*x       - we divide both sides of the equation by (6.531270143801) to get x
100/6.531270143801=x
15.310957562353=x
x=15.310957562353

now we have:
160812.5 is 15.310957562353% of 1050309.88