1.28 is what percent of 3.48 - 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 3.48 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 3.48, so we can write it down as 100%=3.48.
4. We know, that x% equals 1.28 of the output value, so we can write it down as x%=1.28.
5. Now we have two simple equations:
1) 100%=3.48
2) x%=1.28
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%=3.48/1.28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.28 is what percent of 3.48

100%/x%=3.48/1.28
(100/x)*x=(3.48/1.28)*x       - we multiply both sides of the equation by x
100=2.71875*x       - we divide both sides of the equation by (2.71875) to get x
100/2.71875=x
36.781609195402=x
x=36.781609195402

now we have:
1.28 is 36.781609195402% of 3.48