66 is what percent of 5107.5 - 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 5107.5 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 5107.5, so we can write it down as 100%=5107.5.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=5107.5
2) x%=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%=5107.5/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 5107.5

100%/x%=5107.5/66
(100/x)*x=(5107.5/66)*x       - we multiply both sides of the equation by x
100=77.386363636364*x       - we divide both sides of the equation by (77.386363636364) to get x
100/77.386363636364=x
1.2922173274596=x
x=1.2922173274596

now we have:
66 is 1.2922173274596% of 5107.5