What is 35.75 percent of 52.66 - 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 52.66 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 52.66 is 100%, so we can write it down as 52.66=100%.
4. We know, that x is 35.75% of the output value, so we can write it down as x=35.75%.
5. Now we have two simple equations:
1) 52.66=100%
2) x=35.75%
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:
52.66/x=100%/35.75%
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 35.75% of 52.66

52.66/x=100/35.75
(52.66/x)*x=(100/35.75)*x       - we multiply both sides of the equation by x
52.66=2.7972027972028*x       - we divide both sides of the equation by (2.7972027972028) to get x
52.66/2.7972027972028=x
18.82595=x
x=18.82595

now we have:
35.75% of 52.66=18.82595