37.5 is what percent of 153.33 - 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 153.33 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 153.33, so we can write it down as 100%=153.33.
4. We know, that x% equals 37.5 of the output value, so we can write it down as x%=37.5.
5. Now we have two simple equations:
1) 100%=153.33
2) x%=37.5
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%=153.33/37.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.5 is what percent of 153.33

100%/x%=153.33/37.5
(100/x)*x=(153.33/37.5)*x       - we multiply both sides of the equation by x
100=4.0888*x       - we divide both sides of the equation by (4.0888) to get x
100/4.0888=x
24.457053414205=x
x=24.457053414205

now we have:
37.5 is 24.457053414205% of 153.33