2.92 is what percent of 6.85 - 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 6.85 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 6.85, so we can write it down as 100%=6.85.
4. We know, that x% equals 2.92 of the output value, so we can write it down as x%=2.92.
5. Now we have two simple equations:
1) 100%=6.85
2) x%=2.92
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%=6.85/2.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.92 is what percent of 6.85

100%/x%=6.85/2.92
(100/x)*x=(6.85/2.92)*x       - we multiply both sides of the equation by x
100=2.3458904109589*x       - we divide both sides of the equation by (2.3458904109589) to get x
100/2.3458904109589=x
42.627737226277=x
x=42.627737226277

now we have:
2.92 is 42.627737226277% of 6.85