8.1 is what percent of 7.1 - 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 7.1 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 7.1, so we can write it down as 100%=7.1.
4. We know, that x% equals 8.1 of the output value, so we can write it down as x%=8.1.
5. Now we have two simple equations:
1) 100%=7.1
2) x%=8.1
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%=7.1/8.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.1 is what percent of 7.1

100%/x%=7.1/8.1
(100/x)*x=(7.1/8.1)*x       - we multiply both sides of the equation by x
100=0.87654320987654*x       - we divide both sides of the equation by (0.87654320987654) to get x
100/0.87654320987654=x
114.08450704225=x
x=114.08450704225

now we have:
8.1 is 114.08450704225% of 7.1