651.5 is what percent of 1238.5 - 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 1238.5 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 1238.5, so we can write it down as 100%=1238.5.
4. We know, that x% equals 651.5 of the output value, so we can write it down as x%=651.5.
5. Now we have two simple equations:
1) 100%=1238.5
2) x%=651.5
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%=1238.5/651.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 651.5 is what percent of 1238.5

100%/x%=1238.5/651.5
(100/x)*x=(1238.5/651.5)*x       - we multiply both sides of the equation by x
100=1.9009976976209*x       - we divide both sides of the equation by (1.9009976976209) to get x
100/1.9009976976209=x
52.60395639887=x
x=52.60395639887

now we have:
651.5 is 52.60395639887% of 1238.5