66.73 is what percent of 92.45 - 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 92.45 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 92.45, so we can write it down as 100%=92.45.
4. We know, that x% equals 66.73 of the output value, so we can write it down as x%=66.73.
5. Now we have two simple equations:
1) 100%=92.45
2) x%=66.73
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%=92.45/66.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.73 is what percent of 92.45

100%/x%=92.45/66.73
(100/x)*x=(92.45/66.73)*x       - we multiply both sides of the equation by x
100=1.385433837854*x       - we divide both sides of the equation by (1.385433837854) to get x
100/1.385433837854=x
72.179556517036=x
x=72.179556517036

now we have:
66.73 is 72.179556517036% of 92.45