8.1 is what percent of 53.98 - 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 53.98 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 53.98, so we can write it down as 100%=53.98.
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%=53.98
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%=53.98/8.1
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 53.98

100%/x%=53.98/8.1
(100/x)*x=(53.98/8.1)*x       - we multiply both sides of the equation by x
100=6.6641975308642*x       - we divide both sides of the equation by (6.6641975308642) to get x
100/6.6641975308642=x
15.005557613931=x
x=15.005557613931

now we have:
8.1 is 15.005557613931% of 53.98