627.56 is what percent of 660.17 - 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 660.17 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 660.17, so we can write it down as 100%=660.17.
4. We know, that x% equals 627.56 of the output value, so we can write it down as x%=627.56.
5. Now we have two simple equations:
1) 100%=660.17
2) x%=627.56
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%=660.17/627.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 627.56 is what percent of 660.17

100%/x%=660.17/627.56
(100/x)*x=(660.17/627.56)*x       - we multiply both sides of the equation by x
100=1.0519631589011*x       - we divide both sides of the equation by (1.0519631589011) to get x
100/1.0519631589011=x
95.060363239772=x
x=95.060363239772

now we have:
627.56 is 95.060363239772% of 660.17