38758.86 is what percent of 75000 - 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 75000 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 75000, so we can write it down as 100%=75000.
4. We know, that x% equals 38758.86 of the output value, so we can write it down as x%=38758.86.
5. Now we have two simple equations:
1) 100%=75000
2) x%=38758.86
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%=75000/38758.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38758.86 is what percent of 75000

100%/x%=75000/38758.86
(100/x)*x=(75000/38758.86)*x       - we multiply both sides of the equation by x
100=1.9350414331072*x       - we divide both sides of the equation by (1.9350414331072) to get x
100/1.9350414331072=x
51.67848=x
x=51.67848

now we have:
38758.86 is 51.67848% of 75000