837.83 is what percent of 1387.83 - 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 1387.83 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 1387.83, so we can write it down as 100%=1387.83.
4. We know, that x% equals 837.83 of the output value, so we can write it down as x%=837.83.
5. Now we have two simple equations:
1) 100%=1387.83
2) x%=837.83
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%=1387.83/837.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 837.83 is what percent of 1387.83

100%/x%=1387.83/837.83
(100/x)*x=(1387.83/837.83)*x       - we multiply both sides of the equation by x
100=1.6564577539596*x       - we divide both sides of the equation by (1.6564577539596) to get x
100/1.6564577539596=x
60.369785924789=x
x=60.369785924789

now we have:
837.83 is 60.369785924789% of 1387.83