What is 702.5 percent of 2537.5 - 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 2537.5 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 2537.5 is 100%, so we can write it down as 2537.5=100%.
4. We know, that x is 702.5% of the output value, so we can write it down as x=702.5%.
5. Now we have two simple equations:
1) 2537.5=100%
2) x=702.5%
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:
2537.5/x=100%/702.5%
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 702.5% of 2537.5

2537.5/x=100/702.5
(2537.5/x)*x=(100/702.5)*x       - we multiply both sides of the equation by x
2537.5=0.1423487544484*x       - we divide both sides of the equation by (0.1423487544484) to get x
2537.5/0.1423487544484=x
17825.9375=x
x=17825.9375

now we have:
702.5% of 2537.5=17825.9375