77.55 is what percent of 631.51 - 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 631.51 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 631.51, so we can write it down as 100%=631.51.
4. We know, that x% equals 77.55 of the output value, so we can write it down as x%=77.55.
5. Now we have two simple equations:
1) 100%=631.51
2) x%=77.55
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%=631.51/77.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.55 is what percent of 631.51

100%/x%=631.51/77.55
(100/x)*x=(631.51/77.55)*x       - we multiply both sides of the equation by x
100=8.1432624113475*x       - we divide both sides of the equation by (8.1432624113475) to get x
100/8.1432624113475=x
12.280090576555=x
x=12.280090576555

now we have:
77.55 is 12.280090576555% of 631.51