61.3 is what percent of 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 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 66, so we can write it down as 100%=66.
4. We know, that x% equals 61.3 of the output value, so we can write it down as x%=61.3.
5. Now we have two simple equations:
1) 100%=66
2) x%=61.3
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%=66/61.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.3 is what percent of 66

100%/x%=66/61.3
(100/x)*x=(66/61.3)*x       - we multiply both sides of the equation by x
100=1.0766721044046*x       - we divide both sides of the equation by (1.0766721044046) to get x
100/1.0766721044046=x
92.878787878788=x
x=92.878787878788

now we have:
61.3 is 92.878787878788% of 66