631.12 is what percent of 694.4 - 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 694.4 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 694.4, so we can write it down as 100%=694.4.
4. We know, that x% equals 631.12 of the output value, so we can write it down as x%=631.12.
5. Now we have two simple equations:
1) 100%=694.4
2) x%=631.12
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%=694.4/631.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 631.12 is what percent of 694.4

100%/x%=694.4/631.12
(100/x)*x=(694.4/631.12)*x       - we multiply both sides of the equation by x
100=1.1002661934339*x       - we divide both sides of the equation by (1.1002661934339) to get x
100/1.1002661934339=x
90.887096774194=x
x=90.887096774194

now we have:
631.12 is 90.887096774194% of 694.4