6.47 is what percent of 41.7 - 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 41.7 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 41.7, so we can write it down as 100%=41.7.
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%=41.7
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%=41.7/6.47
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 41.7

100%/x%=41.7/6.47
(100/x)*x=(41.7/6.47)*x       - we multiply both sides of the equation by x
100=6.4451313755796*x       - we divide both sides of the equation by (6.4451313755796) to get x
100/6.4451313755796=x
15.515587529976=x
x=15.515587529976

now we have:
6.47 is 15.515587529976% of 41.7