2.8 is what percent of 33.48 - 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 33.48 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 33.48, so we can write it down as 100%=33.48.
4. We know, that x% equals 2.8 of the output value, so we can write it down as x%=2.8.
5. Now we have two simple equations:
1) 100%=33.48
2) x%=2.8
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%=33.48/2.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.8 is what percent of 33.48

100%/x%=33.48/2.8
(100/x)*x=(33.48/2.8)*x       - we multiply both sides of the equation by x
100=11.957142857143*x       - we divide both sides of the equation by (11.957142857143) to get x
100/11.957142857143=x
8.363201911589=x
x=8.363201911589

now we have:
2.8 is 8.363201911589% of 33.48