0.54 is what percent of 1.64 - 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 1.64 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 1.64, so we can write it down as 100%=1.64.
4. We know, that x% equals 0.54 of the output value, so we can write it down as x%=0.54.
5. Now we have two simple equations:
1) 100%=1.64
2) x%=0.54
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%=1.64/0.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.54 is what percent of 1.64

100%/x%=1.64/0.54
(100/x)*x=(1.64/0.54)*x       - we multiply both sides of the equation by x
100=3.037037037037*x       - we divide both sides of the equation by (3.037037037037) to get x
100/3.037037037037=x
32.926829268293=x
x=32.926829268293

now we have:
0.54 is 32.926829268293% of 1.64