3.48 is what percent of 4.49 - 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 4.49 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 4.49, so we can write it down as 100%=4.49.
4. We know, that x% equals 3.48 of the output value, so we can write it down as x%=3.48.
5. Now we have two simple equations:
1) 100%=4.49
2) x%=3.48
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%=4.49/3.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.48 is what percent of 4.49

100%/x%=4.49/3.48
(100/x)*x=(4.49/3.48)*x       - we multiply both sides of the equation by x
100=1.2902298850575*x       - we divide both sides of the equation by (1.2902298850575) to get x
100/1.2902298850575=x
77.50556792873=x
x=77.50556792873

now we have:
3.48 is 77.50556792873% of 4.49