39.95 is what percent of 274.94 - 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 274.94 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 274.94, so we can write it down as 100%=274.94.
4. We know, that x% equals 39.95 of the output value, so we can write it down as x%=39.95.
5. Now we have two simple equations:
1) 100%=274.94
2) x%=39.95
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%=274.94/39.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.95 is what percent of 274.94

100%/x%=274.94/39.95
(100/x)*x=(274.94/39.95)*x       - we multiply both sides of the equation by x
100=6.8821026282854*x       - we divide both sides of the equation by (6.8821026282854) to get x
100/6.8821026282854=x
14.530443005747=x
x=14.530443005747

now we have:
39.95 is 14.530443005747% of 274.94