22.95 is what percent of 299.97 - 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 299.97 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 299.97, so we can write it down as 100%=299.97.
4. We know, that x% equals 22.95 of the output value, so we can write it down as x%=22.95.
5. Now we have two simple equations:
1) 100%=299.97
2) x%=22.95
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%=299.97/22.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.95 is what percent of 299.97

100%/x%=299.97/22.95
(100/x)*x=(299.97/22.95)*x       - we multiply both sides of the equation by x
100=13.070588235294*x       - we divide both sides of the equation by (13.070588235294) to get x
100/13.070588235294=x
7.6507650765076=x
x=7.6507650765076

now we have:
22.95 is 7.6507650765076% of 299.97