76.7 is what percent of 116.7 - 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 116.7 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 116.7, so we can write it down as 100%=116.7.
4. We know, that x% equals 76.7 of the output value, so we can write it down as x%=76.7.
5. Now we have two simple equations:
1) 100%=116.7
2) x%=76.7
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%=116.7/76.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 76.7 is what percent of 116.7

100%/x%=116.7/76.7
(100/x)*x=(116.7/76.7)*x       - we multiply both sides of the equation by x
100=1.5215123859192*x       - we divide both sides of the equation by (1.5215123859192) to get x
100/1.5215123859192=x
65.724078834619=x
x=65.724078834619

now we have:
76.7 is 65.724078834619% of 116.7