2.81 is what percent of 8.49 - 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 8.49 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 8.49, so we can write it down as 100%=8.49.
4. We know, that x% equals 2.81 of the output value, so we can write it down as x%=2.81.
5. Now we have two simple equations:
1) 100%=8.49
2) x%=2.81
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%=8.49/2.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.81 is what percent of 8.49

100%/x%=8.49/2.81
(100/x)*x=(8.49/2.81)*x       - we multiply both sides of the equation by x
100=3.0213523131673*x       - we divide both sides of the equation by (3.0213523131673) to get x
100/3.0213523131673=x
33.097762073027=x
x=33.097762073027

now we have:
2.81 is 33.097762073027% of 8.49