387.15 is what percent of 1177.6 - 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 1177.6 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 1177.6, so we can write it down as 100%=1177.6.
4. We know, that x% equals 387.15 of the output value, so we can write it down as x%=387.15.
5. Now we have two simple equations:
1) 100%=1177.6
2) x%=387.15
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%=1177.6/387.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 387.15 is what percent of 1177.6

100%/x%=1177.6/387.15
(100/x)*x=(1177.6/387.15)*x       - we multiply both sides of the equation by x
100=3.0417150975074*x       - we divide both sides of the equation by (3.0417150975074) to get x
100/3.0417150975074=x
32.876188858696=x
x=32.876188858696

now we have:
387.15 is 32.876188858696% of 1177.6