1.6 is what percent of 15.11 - 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 15.11 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 15.11, so we can write it down as 100%=15.11.
4. We know, that x% equals 1.6 of the output value, so we can write it down as x%=1.6.
5. Now we have two simple equations:
1) 100%=15.11
2) x%=1.6
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%=15.11/1.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.6 is what percent of 15.11

100%/x%=15.11/1.6
(100/x)*x=(15.11/1.6)*x       - we multiply both sides of the equation by x
100=9.44375*x       - we divide both sides of the equation by (9.44375) to get x
100/9.44375=x
10.589013898081=x
x=10.589013898081

now we have:
1.6 is 10.589013898081% of 15.11