What is 75 percent of 53.12 - 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 53.12 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 53.12 is 100%, so we can write it down as 53.12=100%.
4. We know, that x is 75% of the output value, so we can write it down as x=75%.
5. Now we have two simple equations:
1) 53.12=100%
2) x=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:
53.12/x=100%/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 75% of 53.12

53.12/x=100/75
(53.12/x)*x=(100/75)*x       - we multiply both sides of the equation by x
53.12=1.3333333333333*x       - we divide both sides of the equation by (1.3333333333333) to get x
53.12/1.3333333333333=x
39.84=x
x=39.84

now we have:
75% of 53.12=39.84