23637.75 is what percent of 150000 - 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 150000 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 150000, so we can write it down as 100%=150000.
4. We know, that x% equals 23637.75 of the output value, so we can write it down as x%=23637.75.
5. Now we have two simple equations:
1) 100%=150000
2) x%=23637.75
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%=150000/23637.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23637.75 is what percent of 150000

100%/x%=150000/23637.75
(100/x)*x=(150000/23637.75)*x       - we multiply both sides of the equation by x
100=6.3457816416537*x       - we divide both sides of the equation by (6.3457816416537) to get x
100/6.3457816416537=x
15.7585=x
x=15.7585

now we have:
23637.75 is 15.7585% of 150000