35.48 is what percent of 271.48 - 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 271.48 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 271.48, so we can write it down as 100%=271.48.
4. We know, that x% equals 35.48 of the output value, so we can write it down as x%=35.48.
5. Now we have two simple equations:
1) 100%=271.48
2) x%=35.48
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%=271.48/35.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.48 is what percent of 271.48

100%/x%=271.48/35.48
(100/x)*x=(271.48/35.48)*x       - we multiply both sides of the equation by x
100=7.6516347237881*x       - we divide both sides of the equation by (7.6516347237881) to get x
100/7.6516347237881=x
13.069102696331=x
x=13.069102696331

now we have:
35.48 is 13.069102696331% of 271.48