37.7 is what percent of 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 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 66, so we can write it down as 100%=66.
4. We know, that x% equals 37.7 of the output value, so we can write it down as x%=37.7.
5. Now we have two simple equations:
1) 100%=66
2) x%=37.7
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%=66/37.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.7 is what percent of 66

100%/x%=66/37.7
(100/x)*x=(66/37.7)*x       - we multiply both sides of the equation by x
100=1.7506631299735*x       - we divide both sides of the equation by (1.7506631299735) to get x
100/1.7506631299735=x
57.121212121212=x
x=57.121212121212

now we have:
37.7 is 57.121212121212% of 66