680.55 is what percent of 906 - 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 906 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 906, so we can write it down as 100%=906.
4. We know, that x% equals 680.55 of the output value, so we can write it down as x%=680.55.
5. Now we have two simple equations:
1) 100%=906
2) x%=680.55
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%=906/680.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 680.55 is what percent of 906

100%/x%=906/680.55
(100/x)*x=(906/680.55)*x       - we multiply both sides of the equation by x
100=1.3312761736831*x       - we divide both sides of the equation by (1.3312761736831) to get x
100/1.3312761736831=x
75.115894039735=x
x=75.115894039735

now we have:
680.55 is 75.115894039735% of 906