35.27 is what percent of 274.1 - 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 274.1 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 274.1, so we can write it down as 100%=274.1.
4. We know, that x% equals 35.27 of the output value, so we can write it down as x%=35.27.
5. Now we have two simple equations:
1) 100%=274.1
2) x%=35.27
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%=274.1/35.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.27 is what percent of 274.1

100%/x%=274.1/35.27
(100/x)*x=(274.1/35.27)*x       - we multiply both sides of the equation by x
100=7.7714771760703*x       - we divide both sides of the equation by (7.7714771760703) to get x
100/7.7714771760703=x
12.86756658154=x
x=12.86756658154

now we have:
35.27 is 12.86756658154% of 274.1