310.87 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 310.87 of the output value, so we can write it down as x%=310.87.
5. Now we have two simple equations:
1) 100%=2750
2) x%=310.87
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%=2750/310.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 310.87 is what percent of 2750

100%/x%=2750/310.87
(100/x)*x=(2750/310.87)*x       - we multiply both sides of the equation by x
100=8.846141473928*x       - we divide both sides of the equation by (8.846141473928) to get x
100/8.846141473928=x
11.304363636364=x
x=11.304363636364

now we have:
310.87 is 11.304363636364% of 2750