6.48 is what percent of 31.43 - 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 31.43 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 31.43, so we can write it down as 100%=31.43.
4. We know, that x% equals 6.48 of the output value, so we can write it down as x%=6.48.
5. Now we have two simple equations:
1) 100%=31.43
2) x%=6.48
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%=31.43/6.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.48 is what percent of 31.43

100%/x%=31.43/6.48
(100/x)*x=(31.43/6.48)*x       - we multiply both sides of the equation by x
100=4.8503086419753*x       - we divide both sides of the equation by (4.8503086419753) to get x
100/4.8503086419753=x
20.617244670697=x
x=20.617244670697

now we have:
6.48 is 20.617244670697% of 31.43