126.15 is what percent of 1576.92 - 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 1576.92 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 1576.92, so we can write it down as 100%=1576.92.
4. We know, that x% equals 126.15 of the output value, so we can write it down as x%=126.15.
5. Now we have two simple equations:
1) 100%=1576.92
2) x%=126.15
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%=1576.92/126.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.15 is what percent of 1576.92

100%/x%=1576.92/126.15
(100/x)*x=(1576.92/126.15)*x       - we multiply both sides of the equation by x
100=12.500356718193*x       - we divide both sides of the equation by (12.500356718193) to get x
100/12.500356718193=x
7.9997717068716=x
x=7.9997717068716

now we have:
126.15 is 7.9997717068716% of 1576.92