2.83 is what percent of 6.6 - 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 6.6 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 6.6, so we can write it down as 100%=6.6.
4. We know, that x% equals 2.83 of the output value, so we can write it down as x%=2.83.
5. Now we have two simple equations:
1) 100%=6.6
2) x%=2.83
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%=6.6/2.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.83 is what percent of 6.6

100%/x%=6.6/2.83
(100/x)*x=(6.6/2.83)*x       - we multiply both sides of the equation by x
100=2.3321554770318*x       - we divide both sides of the equation by (2.3321554770318) to get x
100/2.3321554770318=x
42.878787878788=x
x=42.878787878788

now we have:
2.83 is 42.878787878788% of 6.6