0.54 is what percent of 10.82 - 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 10.82 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 10.82, so we can write it down as 100%=10.82.
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%=10.82
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%=10.82/0.54
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 10.82

100%/x%=10.82/0.54
(100/x)*x=(10.82/0.54)*x       - we multiply both sides of the equation by x
100=20.037037037037*x       - we divide both sides of the equation by (20.037037037037) to get x
100/20.037037037037=x
4.9907578558226=x
x=4.9907578558226

now we have:
0.54 is 4.9907578558226% of 10.82