2.28 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 2.28 of the output value, so we can write it down as x%=2.28.
5. Now we have two simple equations:
1) 100%=6.85
2) x%=2.28
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%=6.85/2.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.28 is what percent of 6.85

100%/x%=6.85/2.28
(100/x)*x=(6.85/2.28)*x       - we multiply both sides of the equation by x
100=3.0043859649123*x       - we divide both sides of the equation by (3.0043859649123) to get x
100/3.0043859649123=x
33.284671532847=x
x=33.284671532847

now we have:
2.28 is 33.284671532847% of 6.85