What is 22.75 percent of 152.5 - 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 152.5 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 152.5 is 100%, so we can write it down as 152.5=100%.
4. We know, that x is 22.75% of the output value, so we can write it down as x=22.75%.
5. Now we have two simple equations:
1) 152.5=100%
2) x=22.75%
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:
152.5/x=100%/22.75%
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 22.75% of 152.5

152.5/x=100/22.75
(152.5/x)*x=(100/22.75)*x       - we multiply both sides of the equation by x
152.5=4.3956043956044*x       - we divide both sides of the equation by (4.3956043956044) to get x
152.5/4.3956043956044=x
34.69375=x
x=34.69375

now we have:
22.75% of 152.5=34.69375