316.46 is what percent of 274.91 - 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 274.91 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 274.91, so we can write it down as 100%=274.91.
4. We know, that x% equals 316.46 of the output value, so we can write it down as x%=316.46.
5. Now we have two simple equations:
1) 100%=274.91
2) x%=316.46
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%=274.91/316.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 316.46 is what percent of 274.91

100%/x%=274.91/316.46
(100/x)*x=(274.91/316.46)*x       - we multiply both sides of the equation by x
100=0.86870378562852*x       - we divide both sides of the equation by (0.86870378562852) to get x
100/0.86870378562852=x
115.11403732131=x
x=115.11403732131

now we have:
316.46 is 115.11403732131% of 274.91