What is 52.5 percent of 6115.33 - 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 6115.33 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 6115.33 is 100%, so we can write it down as 6115.33=100%.
4. We know, that x is 52.5% of the output value, so we can write it down as x=52.5%.
5. Now we have two simple equations:
1) 6115.33=100%
2) x=52.5%
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:
6115.33/x=100%/52.5%
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 52.5% of 6115.33

6115.33/x=100/52.5
(6115.33/x)*x=(100/52.5)*x       - we multiply both sides of the equation by x
6115.33=1.9047619047619*x       - we divide both sides of the equation by (1.9047619047619) to get x
6115.33/1.9047619047619=x
3210.54825=x
x=3210.54825

now we have:
52.5% of 6115.33=3210.54825