What is 35.72 percent of 52 - 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 52 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 52 is 100%, so we can write it down as 52=100%.
4. We know, that x is 35.72% of the output value, so we can write it down as x=35.72%.
5. Now we have two simple equations:
1) 52=100%
2) x=35.72%
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:
52/x=100%/35.72%
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 35.72% of 52

52/x=100/35.72
(52/x)*x=(100/35.72)*x       - we multiply both sides of the equation by x
52=2.7995520716685*x       - we divide both sides of the equation by (2.7995520716685) to get x
52/2.7995520716685=x
18.5744=x
x=18.5744

now we have:
35.72% of 52=18.5744