680.52 is what percent of 742.4 - 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 742.4 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 742.4, so we can write it down as 100%=742.4.
4. We know, that x% equals 680.52 of the output value, so we can write it down as x%=680.52.
5. Now we have two simple equations:
1) 100%=742.4
2) x%=680.52
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%=742.4/680.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 680.52 is what percent of 742.4

100%/x%=742.4/680.52
(100/x)*x=(742.4/680.52)*x       - we multiply both sides of the equation by x
100=1.0909304649386*x       - we divide both sides of the equation by (1.0909304649386) to get x
100/1.0909304649386=x
91.664870689655=x
x=91.664870689655

now we have:
680.52 is 91.664870689655% of 742.4