What is 33.7 percent of 135.139 - 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 135.139 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 135.139 is 100%, so we can write it down as 135.139=100%.
4. We know, that x is 33.7% of the output value, so we can write it down as x=33.7%.
5. Now we have two simple equations:
1) 135.139=100%
2) x=33.7%
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:
135.139/x=100%/33.7%
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 33.7% of 135.139

135.139/x=100/33.7
(135.139/x)*x=(100/33.7)*x       - we multiply both sides of the equation by x
135.139=2.9673590504451*x       - we divide both sides of the equation by (2.9673590504451) to get x
135.139/2.9673590504451=x
45.541843=x
x=45.541843

now we have:
33.7% of 135.139=45.541843