66.58 is what percent of 73.24 - 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 73.24 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 73.24, so we can write it down as 100%=73.24.
4. We know, that x% equals 66.58 of the output value, so we can write it down as x%=66.58.
5. Now we have two simple equations:
1) 100%=73.24
2) x%=66.58
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%=73.24/66.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.58 is what percent of 73.24

100%/x%=73.24/66.58
(100/x)*x=(73.24/66.58)*x       - we multiply both sides of the equation by x
100=1.1000300390508*x       - we divide both sides of the equation by (1.1000300390508) to get x
100/1.1000300390508=x
90.906608410705=x
x=90.906608410705

now we have:
66.58 is 90.906608410705% of 73.24