1507.5 is what percent of 4862.83 - 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 4862.83 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 4862.83, so we can write it down as 100%=4862.83.
4. We know, that x% equals 1507.5 of the output value, so we can write it down as x%=1507.5.
5. Now we have two simple equations:
1) 100%=4862.83
2) x%=1507.5
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%=4862.83/1507.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1507.5 is what percent of 4862.83

100%/x%=4862.83/1507.5
(100/x)*x=(4862.83/1507.5)*x       - we multiply both sides of the equation by x
100=3.2257578772803*x       - we divide both sides of the equation by (3.2257578772803) to get x
100/3.2257578772803=x
31.000466806366=x
x=31.000466806366

now we have:
1507.5 is 31.000466806366% of 4862.83