265.5 is what percent of 2940 - 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 2940 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 2940, so we can write it down as 100%=2940.
4. We know, that x% equals 265.5 of the output value, so we can write it down as x%=265.5.
5. Now we have two simple equations:
1) 100%=2940
2) x%=265.5
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%=2940/265.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 265.5 is what percent of 2940

100%/x%=2940/265.5
(100/x)*x=(2940/265.5)*x       - we multiply both sides of the equation by x
100=11.073446327684*x       - we divide both sides of the equation by (11.073446327684) to get x
100/11.073446327684=x
9.030612244898=x
x=9.030612244898

now we have:
265.5 is 9.030612244898% of 2940