59.66 is what percent of 133.72 - 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 133.72 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 133.72, so we can write it down as 100%=133.72.
4. We know, that x% equals 59.66 of the output value, so we can write it down as x%=59.66.
5. Now we have two simple equations:
1) 100%=133.72
2) x%=59.66
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%=133.72/59.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 59.66 is what percent of 133.72

100%/x%=133.72/59.66
(100/x)*x=(133.72/59.66)*x       - we multiply both sides of the equation by x
100=2.2413677505867*x       - we divide both sides of the equation by (2.2413677505867) to get x
100/2.2413677505867=x
44.61561471732=x
x=44.61561471732

now we have:
59.66 is 44.61561471732% of 133.72