What is 4.5 percent of 166.67 - 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 166.67 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 166.67 is 100%, so we can write it down as 166.67=100%.
4. We know, that x is 4.5% of the output value, so we can write it down as x=4.5%.
5. Now we have two simple equations:
1) 166.67=100%
2) x=4.5%
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:
166.67/x=100%/4.5%
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 4.5% of 166.67

166.67/x=100/4.5
(166.67/x)*x=(100/4.5)*x       - we multiply both sides of the equation by x
166.67=22.222222222222*x       - we divide both sides of the equation by (22.222222222222) to get x
166.67/22.222222222222=x
7.50015=x
x=7.50015

now we have:
4.5% of 166.67=7.50015