What is 567.5 percent of 602.5 - 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 602.5 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 602.5 is 100%, so we can write it down as 602.5=100%.
4. We know, that x is 567.5% of the output value, so we can write it down as x=567.5%.
5. Now we have two simple equations:
1) 602.5=100%
2) x=567.5%
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:
602.5/x=100%/567.5%
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 567.5% of 602.5

602.5/x=100/567.5
(602.5/x)*x=(100/567.5)*x       - we multiply both sides of the equation by x
602.5=0.17621145374449*x       - we divide both sides of the equation by (0.17621145374449) to get x
602.5/0.17621145374449=x
3419.1875=x
x=3419.1875

now we have:
567.5% of 602.5=3419.1875