What is 138.75 percent of 22.65 - 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 22.65 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 22.65 is 100%, so we can write it down as 22.65=100%.
4. We know, that x is 138.75% of the output value, so we can write it down as x=138.75%.
5. Now we have two simple equations:
1) 22.65=100%
2) x=138.75%
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:
22.65/x=100%/138.75%
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 138.75% of 22.65

22.65/x=100/138.75
(22.65/x)*x=(100/138.75)*x       - we multiply both sides of the equation by x
22.65=0.72072072072072*x       - we divide both sides of the equation by (0.72072072072072) to get x
22.65/0.72072072072072=x
31.426875=x
x=31.426875

now we have:
138.75% of 22.65=31.426875