288.25 is what percent of 1226.5 - 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 1226.5 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 1226.5, so we can write it down as 100%=1226.5.
4. We know, that x% equals 288.25 of the output value, so we can write it down as x%=288.25.
5. Now we have two simple equations:
1) 100%=1226.5
2) x%=288.25
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%=1226.5/288.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.25 is what percent of 1226.5

100%/x%=1226.5/288.25
(100/x)*x=(1226.5/288.25)*x       - we multiply both sides of the equation by x
100=4.2549869904597*x       - we divide both sides of the equation by (4.2549869904597) to get x
100/4.2549869904597=x
23.501834488382=x
x=23.501834488382

now we have:
288.25 is 23.501834488382% of 1226.5