38213 is what percent of 42737.5 - 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 42737.5 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 42737.5, so we can write it down as 100%=42737.5.
4. We know, that x% equals 38213 of the output value, so we can write it down as x%=38213.
5. Now we have two simple equations:
1) 100%=42737.5
2) x%=38213
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%=42737.5/38213
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38213 is what percent of 42737.5

100%/x%=42737.5/38213
(100/x)*x=(42737.5/38213)*x       - we multiply both sides of the equation by x
100=1.1184021144637*x       - we divide both sides of the equation by (1.1184021144637) to get x
100/1.1184021144637=x
89.413278736473=x
x=89.413278736473

now we have:
38213 is 89.413278736473% of 42737.5