229.71 is what percent of 2510.5 - 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 2510.5 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 2510.5, so we can write it down as 100%=2510.5.
4. We know, that x% equals 229.71 of the output value, so we can write it down as x%=229.71.
5. Now we have two simple equations:
1) 100%=2510.5
2) x%=229.71
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%=2510.5/229.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 229.71 is what percent of 2510.5

100%/x%=2510.5/229.71
(100/x)*x=(2510.5/229.71)*x       - we multiply both sides of the equation by x
100=10.928997431544*x       - we divide both sides of the equation by (10.928997431544) to get x
100/10.928997431544=x
9.149970125473=x
x=9.149970125473

now we have:
229.71 is 9.149970125473% of 2510.5