8.89 is what percent of 16.11 - 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 16.11 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 16.11, so we can write it down as 100%=16.11.
4. We know, that x% equals 8.89 of the output value, so we can write it down as x%=8.89.
5. Now we have two simple equations:
1) 100%=16.11
2) x%=8.89
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%=16.11/8.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.89 is what percent of 16.11

100%/x%=16.11/8.89
(100/x)*x=(16.11/8.89)*x       - we multiply both sides of the equation by x
100=1.8121484814398*x       - we divide both sides of the equation by (1.8121484814398) to get x
100/1.8121484814398=x
55.183116076971=x
x=55.183116076971

now we have:
8.89 is 55.183116076971% of 16.11