1987.5 is what percent of 3825 - 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 3825 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 3825, so we can write it down as 100%=3825.
4. We know, that x% equals 1987.5 of the output value, so we can write it down as x%=1987.5.
5. Now we have two simple equations:
1) 100%=3825
2) x%=1987.5
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%=3825/1987.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1987.5 is what percent of 3825

100%/x%=3825/1987.5
(100/x)*x=(3825/1987.5)*x       - we multiply both sides of the equation by x
100=1.9245283018868*x       - we divide both sides of the equation by (1.9245283018868) to get x
100/1.9245283018868=x
51.960784313725=x
x=51.960784313725

now we have:
1987.5 is 51.960784313725% of 3825