0.65 is what percent of 5.39 - 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 5.39 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 5.39, so we can write it down as 100%=5.39.
4. We know, that x% equals 0.65 of the output value, so we can write it down as x%=0.65.
5. Now we have two simple equations:
1) 100%=5.39
2) x%=0.65
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%=5.39/0.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.65 is what percent of 5.39

100%/x%=5.39/0.65
(100/x)*x=(5.39/0.65)*x       - we multiply both sides of the equation by x
100=8.2923076923077*x       - we divide both sides of the equation by (8.2923076923077) to get x
100/8.2923076923077=x
12.059369202226=x
x=12.059369202226

now we have:
0.65 is 12.059369202226% of 5.39