6.5 is what percent of 45.42 - 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 45.42 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 45.42, so we can write it down as 100%=45.42.
4. We know, that x% equals 6.5 of the output value, so we can write it down as x%=6.5.
5. Now we have two simple equations:
1) 100%=45.42
2) x%=6.5
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%=45.42/6.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.5 is what percent of 45.42

100%/x%=45.42/6.5
(100/x)*x=(45.42/6.5)*x       - we multiply both sides of the equation by x
100=6.9876923076923*x       - we divide both sides of the equation by (6.9876923076923) to get x
100/6.9876923076923=x
14.310876265962=x
x=14.310876265962

now we have:
6.5 is 14.310876265962% of 45.42