2896.08 is what percent of 7006 - 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 7006 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 7006, so we can write it down as 100%=7006.
4. We know, that x% equals 2896.08 of the output value, so we can write it down as x%=2896.08.
5. Now we have two simple equations:
1) 100%=7006
2) x%=2896.08
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%=7006/2896.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2896.08 is what percent of 7006

100%/x%=7006/2896.08
(100/x)*x=(7006/2896.08)*x       - we multiply both sides of the equation by x
100=2.4191320681749*x       - we divide both sides of the equation by (2.4191320681749) to get x
100/2.4191320681749=x
41.337139594633=x
x=41.337139594633

now we have:
2896.08 is 41.337139594633% of 7006