275.06 is what percent of 2575 - 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 2575 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 2575, so we can write it down as 100%=2575.
4. We know, that x% equals 275.06 of the output value, so we can write it down as x%=275.06.
5. Now we have two simple equations:
1) 100%=2575
2) x%=275.06
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%=2575/275.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 275.06 is what percent of 2575

100%/x%=2575/275.06
(100/x)*x=(2575/275.06)*x       - we multiply both sides of the equation by x
100=9.3615938340726*x       - we divide both sides of the equation by (9.3615938340726) to get x
100/9.3615938340726=x
10.681941747573=x
x=10.681941747573

now we have:
275.06 is 10.681941747573% of 2575