22.5 is what percent of 299 - 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 299 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 100% equals 299, so we can write it down as 100%=299.
4. We know, that x% equals 22.5 of the output value, so we can write it down as x%=22.5.
5. Now we have two simple equations:
1) 100%=299
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:
100%/x%=299/22.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.5 is what percent of 299

100%/x%=299/22.5
(100/x)*x=(299/22.5)*x       - we multiply both sides of the equation by x
100=13.288888888889*x       - we divide both sides of the equation by (13.288888888889) to get x
100/13.288888888889=x
7.5250836120401=x
x=7.5250836120401

now we have:
22.5 is 7.5250836120401% of 299