2002.5 is what percent of 2480 - 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 2480 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 100% equals 2480, so we can write it down as 100%=2480.
4. We know, that x% equals 2002.5 of the output value, so we can write it down as x%=2002.5.
5. Now we have two simple equations:
1) 100%=2480
2) x%=2002.5
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:
100%/x%=2480/2002.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2002.5 is what percent of 2480

100%/x%=2480/2002.5
(100/x)*x=(2480/2002.5)*x       - we multiply both sides of the equation by x
100=1.2384519350811*x       - we divide both sides of the equation by (1.2384519350811) to get x
100/1.2384519350811=x
80.745967741935=x
x=80.745967741935

now we have:
2002.5 is 80.745967741935% of 2480