12.73 is what percent of 6.5 - 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 6.5 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 6.5, so we can write it down as 100%=6.5.
4. We know, that x% equals 12.73 of the output value, so we can write it down as x%=12.73.
5. Now we have two simple equations:
1) 100%=6.5
2) x%=12.73
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%=6.5/12.73
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12.73 is what percent of 6.5

100%/x%=6.5/12.73
(100/x)*x=(6.5/12.73)*x       - we multiply both sides of the equation by x
100=0.51060487038492*x       - we divide both sides of the equation by (0.51060487038492) to get x
100/0.51060487038492=x
195.84615384615=x
x=195.84615384615

now we have:
12.73 is 195.84615384615% of 6.5