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

7. Solution for 73.24 is what percent of 66.58

100%/x%=66.58/73.24
(100/x)*x=(66.58/73.24)*x       - we multiply both sides of the equation by x
100=0.90906608410705*x       - we divide both sides of the equation by (0.90906608410705) to get x
100/0.90906608410705=x
110.00300390508=x
x=110.00300390508

now we have:
73.24 is 110.00300390508% of 66.58