627.72 is what percent of 677.88 - 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 677.88 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 677.88, so we can write it down as 100%=677.88.
4. We know, that x% equals 627.72 of the output value, so we can write it down as x%=627.72.
5. Now we have two simple equations:
1) 100%=677.88
2) x%=627.72
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%=677.88/627.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 627.72 is what percent of 677.88

100%/x%=677.88/627.72
(100/x)*x=(677.88/627.72)*x       - we multiply both sides of the equation by x
100=1.0799082393424*x       - we divide both sides of the equation by (1.0799082393424) to get x
100/1.0799082393424=x
92.600460258453=x
x=92.600460258453

now we have:
627.72 is 92.600460258453% of 677.88