What is 16.66 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 16.66% of the output value, so we can write it down as x=16.66%.
5. Now we have two simple equations:
1) 166=100%
2) x=16.66%
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%/16.66%
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 16.66% of 166

166/x=100/16.66
(166/x)*x=(100/16.66)*x       - we multiply both sides of the equation by x
166=6.0024009603842*x       - we divide both sides of the equation by (6.0024009603842) to get x
166/6.0024009603842=x
27.6556=x
x=27.6556

now we have:
16.66% of 166=27.6556