250.28 is what percent of 2910.2 - 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 2910.2 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 2910.2, so we can write it down as 100%=2910.2.
4. We know, that x% equals 250.28 of the output value, so we can write it down as x%=250.28.
5. Now we have two simple equations:
1) 100%=2910.2
2) x%=250.28
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%=2910.2/250.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.28 is what percent of 2910.2

100%/x%=2910.2/250.28
(100/x)*x=(2910.2/250.28)*x       - we multiply both sides of the equation by x
100=11.627776889883*x       - we divide both sides of the equation by (11.627776889883) to get x
100/11.627776889883=x
8.6000962133187=x
x=8.6000962133187

now we have:
250.28 is 8.6000962133187% of 2910.2