6.64 is what percent of 102.19 - 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 102.19 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 102.19, so we can write it down as 100%=102.19.
4. We know, that x% equals 6.64 of the output value, so we can write it down as x%=6.64.
5. Now we have two simple equations:
1) 100%=102.19
2) x%=6.64
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%=102.19/6.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.64 is what percent of 102.19

100%/x%=102.19/6.64
(100/x)*x=(102.19/6.64)*x       - we multiply both sides of the equation by x
100=15.390060240964*x       - we divide both sides of the equation by (15.390060240964) to get x
100/15.390060240964=x
6.4977003620707=x
x=6.4977003620707

now we have:
6.64 is 6.4977003620707% of 102.19