300.3 is what percent of 226.38 - 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 226.38 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 226.38, so we can write it down as 100%=226.38.
4. We know, that x% equals 300.3 of the output value, so we can write it down as x%=300.3.
5. Now we have two simple equations:
1) 100%=226.38
2) x%=300.3
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%=226.38/300.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 300.3 is what percent of 226.38

100%/x%=226.38/300.3
(100/x)*x=(226.38/300.3)*x       - we multiply both sides of the equation by x
100=0.75384615384615*x       - we divide both sides of the equation by (0.75384615384615) to get x
100/0.75384615384615=x
132.65306122449=x
x=132.65306122449

now we have:
300.3 is 132.65306122449% of 226.38