What is 17.9 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 17.9% of the output value, so we can write it down as x=17.9%.
5. Now we have two simple equations:
1) 166=100%
2) x=17.9%
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%/17.9%
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 17.9% of 166

166/x=100/17.9
(166/x)*x=(100/17.9)*x       - we multiply both sides of the equation by x
166=5.586592178771*x       - we divide both sides of the equation by (5.586592178771) to get x
166/5.586592178771=x
29.714=x
x=29.714

now we have:
17.9% of 166=29.714