2487.5 is what percent of 4237.5 - 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 4237.5 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 4237.5, so we can write it down as 100%=4237.5.
4. We know, that x% equals 2487.5 of the output value, so we can write it down as x%=2487.5.
5. Now we have two simple equations:
1) 100%=4237.5
2) x%=2487.5
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%=4237.5/2487.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2487.5 is what percent of 4237.5

100%/x%=4237.5/2487.5
(100/x)*x=(4237.5/2487.5)*x       - we multiply both sides of the equation by x
100=1.7035175879397*x       - we divide both sides of the equation by (1.7035175879397) to get x
100/1.7035175879397=x
58.702064896755=x
x=58.702064896755

now we have:
2487.5 is 58.702064896755% of 4237.5