What is 37.61 percent of 150.75 - 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 150.75 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 150.75 is 100%, so we can write it down as 150.75=100%.
4. We know, that x is 37.61% of the output value, so we can write it down as x=37.61%.
5. Now we have two simple equations:
1) 150.75=100%
2) x=37.61%
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:
150.75/x=100%/37.61%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 37.61% of 150.75

150.75/x=100/37.61
(150.75/x)*x=(100/37.61)*x       - we multiply both sides of the equation by x
150.75=2.6588673225206*x       - we divide both sides of the equation by (2.6588673225206) to get x
150.75/2.6588673225206=x
56.697075=x
x=56.697075

now we have:
37.61% of 150.75=56.697075