949.62 is what percent of 2851.68 - 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 2851.68 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 2851.68, so we can write it down as 100%=2851.68.
4. We know, that x% equals 949.62 of the output value, so we can write it down as x%=949.62.
5. Now we have two simple equations:
1) 100%=2851.68
2) x%=949.62
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%=2851.68/949.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 949.62 is what percent of 2851.68

100%/x%=2851.68/949.62
(100/x)*x=(2851.68/949.62)*x       - we multiply both sides of the equation by x
100=3.0029696088962*x       - we divide both sides of the equation by (3.0029696088962) to get x
100/3.0029696088962=x
33.300370308029=x
x=33.300370308029

now we have:
949.62 is 33.300370308029% of 2851.68