1020.5 is what percent of 2520 - 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 2520 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 2520, so we can write it down as 100%=2520.
4. We know, that x% equals 1020.5 of the output value, so we can write it down as x%=1020.5.
5. Now we have two simple equations:
1) 100%=2520
2) x%=1020.5
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%=2520/1020.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1020.5 is what percent of 2520

100%/x%=2520/1020.5
(100/x)*x=(2520/1020.5)*x       - we multiply both sides of the equation by x
100=2.469377756002*x       - we divide both sides of the equation by (2.469377756002) to get x
100/2.469377756002=x
40.496031746032=x
x=40.496031746032

now we have:
1020.5 is 40.496031746032% of 2520