6.36 is what percent of 42.6 - 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 42.6 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 42.6, so we can write it down as 100%=42.6.
4. We know, that x% equals 6.36 of the output value, so we can write it down as x%=6.36.
5. Now we have two simple equations:
1) 100%=42.6
2) x%=6.36
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%=42.6/6.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.36 is what percent of 42.6

100%/x%=42.6/6.36
(100/x)*x=(42.6/6.36)*x       - we multiply both sides of the equation by x
100=6.6981132075472*x       - we divide both sides of the equation by (6.6981132075472) to get x
100/6.6981132075472=x
14.929577464789=x
x=14.929577464789

now we have:
6.36 is 14.929577464789% of 42.6