3.33 is what percent of 4.4 - 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 4.4 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 4.4, so we can write it down as 100%=4.4.
4. We know, that x% equals 3.33 of the output value, so we can write it down as x%=3.33.
5. Now we have two simple equations:
1) 100%=4.4
2) x%=3.33
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%=4.4/3.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.33 is what percent of 4.4

100%/x%=4.4/3.33
(100/x)*x=(4.4/3.33)*x       - we multiply both sides of the equation by x
100=1.3213213213213*x       - we divide both sides of the equation by (1.3213213213213) to get x
100/1.3213213213213=x
75.681818181818=x
x=75.681818181818

now we have:
3.33 is 75.681818181818% of 4.4