37.01 is what percent of 59.66 - 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 59.66 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 59.66, so we can write it down as 100%=59.66.
4. We know, that x% equals 37.01 of the output value, so we can write it down as x%=37.01.
5. Now we have two simple equations:
1) 100%=59.66
2) x%=37.01
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%=59.66/37.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.01 is what percent of 59.66

100%/x%=59.66/37.01
(100/x)*x=(59.66/37.01)*x       - we multiply both sides of the equation by x
100=1.6119967576331*x       - we divide both sides of the equation by (1.6119967576331) to get x
100/1.6119967576331=x
62.03486423064=x
x=62.03486423064

now we have:
37.01 is 62.03486423064% of 59.66