547.7 is what percent of 680 - 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 680 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 680, so we can write it down as 100%=680.
4. We know, that x% equals 547.7 of the output value, so we can write it down as x%=547.7.
5. Now we have two simple equations:
1) 100%=680
2) x%=547.7
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%=680/547.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 547.7 is what percent of 680

100%/x%=680/547.7
(100/x)*x=(680/547.7)*x       - we multiply both sides of the equation by x
100=1.2415555961293*x       - we divide both sides of the equation by (1.2415555961293) to get x
100/1.2415555961293=x
80.544117647059=x
x=80.544117647059

now we have:
547.7 is 80.544117647059% of 680