1180.69 is what percent of 1507.5 - 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 1507.5 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 1507.5, so we can write it down as 100%=1507.5.
4. We know, that x% equals 1180.69 of the output value, so we can write it down as x%=1180.69.
5. Now we have two simple equations:
1) 100%=1507.5
2) x%=1180.69
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%=1507.5/1180.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1180.69 is what percent of 1507.5

100%/x%=1507.5/1180.69
(100/x)*x=(1507.5/1180.69)*x       - we multiply both sides of the equation by x
100=1.2767957719639*x       - we divide both sides of the equation by (1.2767957719639) to get x
100/1.2767957719639=x
78.321061359867=x
x=78.321061359867

now we have:
1180.69 is 78.321061359867% of 1507.5