1237.89 is what percent of 1562.5 - 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 1562.5 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 1562.5, so we can write it down as 100%=1562.5.
4. We know, that x% equals 1237.89 of the output value, so we can write it down as x%=1237.89.
5. Now we have two simple equations:
1) 100%=1562.5
2) x%=1237.89
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%=1562.5/1237.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1237.89 is what percent of 1562.5

100%/x%=1562.5/1237.89
(100/x)*x=(1562.5/1237.89)*x       - we multiply both sides of the equation by x
100=1.2622284694117*x       - we divide both sides of the equation by (1.2622284694117) to get x
100/1.2622284694117=x
79.22496=x
x=79.22496

now we have:
1237.89 is 79.22496% of 1562.5