37.5 is what percent of 149.4 - 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 149.4 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 149.4, so we can write it down as 100%=149.4.
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%=149.4
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%=149.4/37.5
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 149.4

100%/x%=149.4/37.5
(100/x)*x=(149.4/37.5)*x       - we multiply both sides of the equation by x
100=3.984*x       - we divide both sides of the equation by (3.984) to get x
100/3.984=x
25.100401606426=x
x=25.100401606426

now we have:
37.5 is 25.100401606426% of 149.4