What is 72.3 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 72.3% of the output value, so we can write it down as x=72.3%.
5. Now we have two simple equations:
1) 166=100%
2) x=72.3%
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%/72.3%
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 72.3% of 166

166/x=100/72.3
(166/x)*x=(100/72.3)*x       - we multiply both sides of the equation by x
166=1.3831258644537*x       - we divide both sides of the equation by (1.3831258644537) to get x
166/1.3831258644537=x
120.018=x
x=120.018

now we have:
72.3% of 166=120.018