What is 37.63 percent of 48 - 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 48 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 48 is 100%, so we can write it down as 48=100%.
4. We know, that x is 37.63% of the output value, so we can write it down as x=37.63%.
5. Now we have two simple equations:
1) 48=100%
2) x=37.63%
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:
48/x=100%/37.63%
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 37.63% of 48

48/x=100/37.63
(48/x)*x=(100/37.63)*x       - we multiply both sides of the equation by x
48=2.6574541589158*x       - we divide both sides of the equation by (2.6574541589158) to get x
48/2.6574541589158=x
18.0624=x
x=18.0624

now we have:
37.63% of 48=18.0624