75.6 is what percent of 106.66 - 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 106.66 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 106.66, so we can write it down as 100%=106.66.
4. We know, that x% equals 75.6 of the output value, so we can write it down as x%=75.6.
5. Now we have two simple equations:
1) 100%=106.66
2) x%=75.6
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%=106.66/75.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.6 is what percent of 106.66

100%/x%=106.66/75.6
(100/x)*x=(106.66/75.6)*x       - we multiply both sides of the equation by x
100=1.4108465608466*x       - we divide both sides of the equation by (1.4108465608466) to get x
100/1.4108465608466=x
70.879429964373=x
x=70.879429964373

now we have:
75.6 is 70.879429964373% of 106.66