242.48 is what percent of 3000 - 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 3000 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 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 242.48 of the output value, so we can write it down as x%=242.48.
5. Now we have two simple equations:
1) 100%=3000
2) x%=242.48
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%=3000/242.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 242.48 is what percent of 3000

100%/x%=3000/242.48
(100/x)*x=(3000/242.48)*x       - we multiply both sides of the equation by x
100=12.372154404487*x       - we divide both sides of the equation by (12.372154404487) to get x
100/12.372154404487=x
8.0826666666667=x
x=8.0826666666667

now we have:
242.48 is 8.0826666666667% of 3000