687.78 is what percent of 716.12 - 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 716.12 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 716.12, so we can write it down as 100%=716.12.
4. We know, that x% equals 687.78 of the output value, so we can write it down as x%=687.78.
5. Now we have two simple equations:
1) 100%=716.12
2) x%=687.78
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%=716.12/687.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 687.78 is what percent of 716.12

100%/x%=716.12/687.78
(100/x)*x=(716.12/687.78)*x       - we multiply both sides of the equation by x
100=1.0412050364942*x       - we divide both sides of the equation by (1.0412050364942) to get x
100/1.0412050364942=x
96.042562698989=x
x=96.042562698989

now we have:
687.78 is 96.042562698989% of 716.12