6.47 is what percent of 11 - 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 11 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 11, so we can write it down as 100%=11.
4. We know, that x% equals 6.47 of the output value, so we can write it down as x%=6.47.
5. Now we have two simple equations:
1) 100%=11
2) x%=6.47
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%=11/6.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.47 is what percent of 11

100%/x%=11/6.47
(100/x)*x=(11/6.47)*x       - we multiply both sides of the equation by x
100=1.7001545595054*x       - we divide both sides of the equation by (1.7001545595054) to get x
100/1.7001545595054=x
58.818181818182=x
x=58.818181818182

now we have:
6.47 is 58.818181818182% of 11