1.54 is what percent of 8.44 - 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 8.44 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 8.44, so we can write it down as 100%=8.44.
4. We know, that x% equals 1.54 of the output value, so we can write it down as x%=1.54.
5. Now we have two simple equations:
1) 100%=8.44
2) x%=1.54
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%=8.44/1.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.54 is what percent of 8.44

100%/x%=8.44/1.54
(100/x)*x=(8.44/1.54)*x       - we multiply both sides of the equation by x
100=5.4805194805195*x       - we divide both sides of the equation by (5.4805194805195) to get x
100/5.4805194805195=x
18.24644549763=x
x=18.24644549763

now we have:
1.54 is 18.24644549763% of 8.44