625.03 is what percent of 631.7 - 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 631.7 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 631.7, so we can write it down as 100%=631.7.
4. We know, that x% equals 625.03 of the output value, so we can write it down as x%=625.03.
5. Now we have two simple equations:
1) 100%=631.7
2) x%=625.03
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%=631.7/625.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 625.03 is what percent of 631.7

100%/x%=631.7/625.03
(100/x)*x=(631.7/625.03)*x       - we multiply both sides of the equation by x
100=1.0106714877686*x       - we divide both sides of the equation by (1.0106714877686) to get x
100/1.0106714877686=x
98.94411904385=x
x=98.94411904385

now we have:
625.03 is 98.94411904385% of 631.7