299.85 is what percent of 3146.55 - 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 3146.55 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 3146.55, so we can write it down as 100%=3146.55.
4. We know, that x% equals 299.85 of the output value, so we can write it down as x%=299.85.
5. Now we have two simple equations:
1) 100%=3146.55
2) x%=299.85
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%=3146.55/299.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 299.85 is what percent of 3146.55

100%/x%=3146.55/299.85
(100/x)*x=(3146.55/299.85)*x       - we multiply both sides of the equation by x
100=10.493746873437*x       - we divide both sides of the equation by (10.493746873437) to get x
100/10.493746873437=x
9.5294846736902=x
x=9.5294846736902

now we have:
299.85 is 9.5294846736902% of 3146.55