What is 22.5 percent of 165 - 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 165 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 165 is 100%, so we can write it down as 165=100%.
4. We know, that x is 22.5% of the output value, so we can write it down as x=22.5%.
5. Now we have two simple equations:
1) 165=100%
2) x=22.5%
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:
165/x=100%/22.5%
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 22.5% of 165

165/x=100/22.5
(165/x)*x=(100/22.5)*x       - we multiply both sides of the equation by x
165=4.4444444444444*x       - we divide both sides of the equation by (4.4444444444444) to get x
165/4.4444444444444=x
37.125=x
x=37.125

now we have:
22.5% of 165=37.125