22.6 is what percent of 300 - 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 300 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 300, so we can write it down as 100%=300.
4. We know, that x% equals 22.6 of the output value, so we can write it down as x%=22.6.
5. Now we have two simple equations:
1) 100%=300
2) x%=22.6
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%=300/22.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 22.6 is what percent of 300

100%/x%=300/22.6
(100/x)*x=(300/22.6)*x       - we multiply both sides of the equation by x
100=13.274336283186*x       - we divide both sides of the equation by (13.274336283186) to get x
100/13.274336283186=x
7.5333333333333=x
x=7.5333333333333

now we have:
22.6 is 7.5333333333333% of 300