2.75 is what percent of 117.25 - 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 117.25 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 117.25, so we can write it down as 100%=117.25.
4. We know, that x% equals 2.75 of the output value, so we can write it down as x%=2.75.
5. Now we have two simple equations:
1) 100%=117.25
2) x%=2.75
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%=117.25/2.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.75 is what percent of 117.25

100%/x%=117.25/2.75
(100/x)*x=(117.25/2.75)*x       - we multiply both sides of the equation by x
100=42.636363636364*x       - we divide both sides of the equation by (42.636363636364) to get x
100/42.636363636364=x
2.3454157782516=x
x=2.3454157782516

now we have:
2.75 is 2.3454157782516% of 117.25