1009.5 is what percent of 2895 - 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 2895 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 2895, so we can write it down as 100%=2895.
4. We know, that x% equals 1009.5 of the output value, so we can write it down as x%=1009.5.
5. Now we have two simple equations:
1) 100%=2895
2) x%=1009.5
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%=2895/1009.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1009.5 is what percent of 2895

100%/x%=2895/1009.5
(100/x)*x=(2895/1009.5)*x       - we multiply both sides of the equation by x
100=2.8677563150074*x       - we divide both sides of the equation by (2.8677563150074) to get x
100/2.8677563150074=x
34.870466321244=x
x=34.870466321244

now we have:
1009.5 is 34.870466321244% of 2895