11.25 is what percent of 68.15 - 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 68.15 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 68.15, so we can write it down as 100%=68.15.
4. We know, that x% equals 11.25 of the output value, so we can write it down as x%=11.25.
5. Now we have two simple equations:
1) 100%=68.15
2) x%=11.25
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%=68.15/11.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.25 is what percent of 68.15

100%/x%=68.15/11.25
(100/x)*x=(68.15/11.25)*x       - we multiply both sides of the equation by x
100=6.0577777777778*x       - we divide both sides of the equation by (6.0577777777778) to get x
100/6.0577777777778=x
16.507703595011=x
x=16.507703595011

now we have:
11.25 is 16.507703595011% of 68.15