What is 37.08 percent of 49.02 - 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 49.02 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 49.02 is 100%, so we can write it down as 49.02=100%.
4. We know, that x is 37.08% of the output value, so we can write it down as x=37.08%.
5. Now we have two simple equations:
1) 49.02=100%
2) x=37.08%
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:
49.02/x=100%/37.08%
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 37.08% of 49.02

49.02/x=100/37.08
(49.02/x)*x=(100/37.08)*x       - we multiply both sides of the equation by x
49.02=2.6968716289105*x       - we divide both sides of the equation by (2.6968716289105) to get x
49.02/2.6968716289105=x
18.176616=x
x=18.176616

now we have:
37.08% of 49.02=18.176616