3.54 is what percent of 0.8 - 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 0.8 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 0.8, so we can write it down as 100%=0.8.
4. We know, that x% equals 3.54 of the output value, so we can write it down as x%=3.54.
5. Now we have two simple equations:
1) 100%=0.8
2) x%=3.54
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%=0.8/3.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.54 is what percent of 0.8

100%/x%=0.8/3.54
(100/x)*x=(0.8/3.54)*x       - we multiply both sides of the equation by x
100=0.22598870056497*x       - we divide both sides of the equation by (0.22598870056497) to get x
100/0.22598870056497=x
442.5=x
x=442.5

now we have:
3.54 is 442.5% of 0.8