519.75 is what percent of 2750 - 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 2750 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 2750, so we can write it down as 100%=2750.
4. We know, that x% equals 519.75 of the output value, so we can write it down as x%=519.75.
5. Now we have two simple equations:
1) 100%=2750
2) x%=519.75
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%=2750/519.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 519.75 is what percent of 2750

100%/x%=2750/519.75
(100/x)*x=(2750/519.75)*x       - we multiply both sides of the equation by x
100=5.2910052910053*x       - we divide both sides of the equation by (5.2910052910053) to get x
100/5.2910052910053=x
18.9=x
x=18.9

now we have:
519.75 is 18.9% of 2750