271.95 is what percent of 291.58 - 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 291.58 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 291.58, so we can write it down as 100%=291.58.
4. We know, that x% equals 271.95 of the output value, so we can write it down as x%=271.95.
5. Now we have two simple equations:
1) 100%=291.58
2) x%=271.95
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%=291.58/271.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 271.95 is what percent of 291.58

100%/x%=291.58/271.95
(100/x)*x=(291.58/271.95)*x       - we multiply both sides of the equation by x
100=1.0721823864681*x       - we divide both sides of the equation by (1.0721823864681) to get x
100/1.0721823864681=x
93.267713834968=x
x=93.267713834968

now we have:
271.95 is 93.267713834968% of 291.58