7.71 is what percent of 16.15 - 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 16.15 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 16.15, so we can write it down as 100%=16.15.
4. We know, that x% equals 7.71 of the output value, so we can write it down as x%=7.71.
5. Now we have two simple equations:
1) 100%=16.15
2) x%=7.71
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%=16.15/7.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.71 is what percent of 16.15

100%/x%=16.15/7.71
(100/x)*x=(16.15/7.71)*x       - we multiply both sides of the equation by x
100=2.094682230869*x       - we divide both sides of the equation by (2.094682230869) to get x
100/2.094682230869=x
47.739938080495=x
x=47.739938080495

now we have:
7.71 is 47.739938080495% of 16.15