0.8 is what percent of 4.43 - 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 4.43 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 4.43, so we can write it down as 100%=4.43.
4. We know, that x% equals 0.8 of the output value, so we can write it down as x%=0.8.
5. Now we have two simple equations:
1) 100%=4.43
2) x%=0.8
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%=4.43/0.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.8 is what percent of 4.43

100%/x%=4.43/0.8
(100/x)*x=(4.43/0.8)*x       - we multiply both sides of the equation by x
100=5.5375*x       - we divide both sides of the equation by (5.5375) to get x
100/5.5375=x
18.058690744921=x
x=18.058690744921

now we have:
0.8 is 18.058690744921% of 4.43