6.49 is what percent of 21.65 - 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 21.65 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 21.65, so we can write it down as 100%=21.65.
4. We know, that x% equals 6.49 of the output value, so we can write it down as x%=6.49.
5. Now we have two simple equations:
1) 100%=21.65
2) x%=6.49
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%=21.65/6.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.49 is what percent of 21.65

100%/x%=21.65/6.49
(100/x)*x=(21.65/6.49)*x       - we multiply both sides of the equation by x
100=3.3359013867488*x       - we divide both sides of the equation by (3.3359013867488) to get x
100/3.3359013867488=x
29.976905311778=x
x=29.976905311778

now we have:
6.49 is 29.976905311778% of 21.65