0.54 is what percent of 8.53 - 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 8.53 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 8.53, so we can write it down as 100%=8.53.
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%=8.53
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%=8.53/0.54
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 8.53

100%/x%=8.53/0.54
(100/x)*x=(8.53/0.54)*x       - we multiply both sides of the equation by x
100=15.796296296296*x       - we divide both sides of the equation by (15.796296296296) to get x
100/15.796296296296=x
6.3305978898007=x
x=6.3305978898007

now we have:
0.54 is 6.3305978898007% of 8.53