What is 10.6 percent of 166.22 - 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 166.22 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 166.22 is 100%, so we can write it down as 166.22=100%.
4. We know, that x is 10.6% of the output value, so we can write it down as x=10.6%.
5. Now we have two simple equations:
1) 166.22=100%
2) x=10.6%
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:
166.22/x=100%/10.6%
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 10.6% of 166.22

166.22/x=100/10.6
(166.22/x)*x=(100/10.6)*x       - we multiply both sides of the equation by x
166.22=9.4339622641509*x       - we divide both sides of the equation by (9.4339622641509) to get x
166.22/9.4339622641509=x
17.61932=x
x=17.61932

now we have:
10.6% of 166.22=17.61932