What is 11.1 percent of 166 - 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 166 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 166 is 100%, so we can write it down as 166=100%.
4. We know, that x is 11.1% of the output value, so we can write it down as x=11.1%.
5. Now we have two simple equations:
1) 166=100%
2) x=11.1%
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:
166/x=100%/11.1%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.1% of 166

166/x=100/11.1
(166/x)*x=(100/11.1)*x       - we multiply both sides of the equation by x
166=9.009009009009*x       - we divide both sides of the equation by (9.009009009009) to get x
166/9.009009009009=x
18.426=x
x=18.426

now we have:
11.1% of 166=18.426