272.7 is what percent of 294 - 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 294 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 294, so we can write it down as 100%=294.
4. We know, that x% equals 272.7 of the output value, so we can write it down as x%=272.7.
5. Now we have two simple equations:
1) 100%=294
2) x%=272.7
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%=294/272.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 272.7 is what percent of 294

100%/x%=294/272.7
(100/x)*x=(294/272.7)*x       - we multiply both sides of the equation by x
100=1.0781078107811*x       - we divide both sides of the equation by (1.0781078107811) to get x
100/1.0781078107811=x
92.755102040816=x
x=92.755102040816

now we have:
272.7 is 92.755102040816% of 294