37.1 is what percent of 150.41 - 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 150.41 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 150.41, so we can write it down as 100%=150.41.
4. We know, that x% equals 37.1 of the output value, so we can write it down as x%=37.1.
5. Now we have two simple equations:
1) 100%=150.41
2) x%=37.1
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%=150.41/37.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.1 is what percent of 150.41

100%/x%=150.41/37.1
(100/x)*x=(150.41/37.1)*x       - we multiply both sides of the equation by x
100=4.0541778975741*x       - we divide both sides of the equation by (4.0541778975741) to get x
100/4.0541778975741=x
24.665913170667=x
x=24.665913170667

now we have:
37.1 is 24.665913170667% of 150.41