676.28 is what percent of 700.15 - 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 700.15 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 700.15, so we can write it down as 100%=700.15.
4. We know, that x% equals 676.28 of the output value, so we can write it down as x%=676.28.
5. Now we have two simple equations:
1) 100%=700.15
2) x%=676.28
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%=700.15/676.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 676.28 is what percent of 700.15

100%/x%=700.15/676.28
(100/x)*x=(700.15/676.28)*x       - we multiply both sides of the equation by x
100=1.0352960312297*x       - we divide both sides of the equation by (1.0352960312297) to get x
100/1.0352960312297=x
96.590730557738=x
x=96.590730557738

now we have:
676.28 is 96.590730557738% of 700.15