2.85 is what percent of 676.92 - 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 676.92 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 676.92, so we can write it down as 100%=676.92.
4. We know, that x% equals 2.85 of the output value, so we can write it down as x%=2.85.
5. Now we have two simple equations:
1) 100%=676.92
2) x%=2.85
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%=676.92/2.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.85 is what percent of 676.92

100%/x%=676.92/2.85
(100/x)*x=(676.92/2.85)*x       - we multiply both sides of the equation by x
100=237.51578947368*x       - we divide both sides of the equation by (237.51578947368) to get x
100/237.51578947368=x
0.4210246410211=x
x=0.4210246410211

now we have:
2.85 is 0.4210246410211% of 676.92