6.1 is what percent of 38.1 - 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 38.1 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 38.1, so we can write it down as 100%=38.1.
4. We know, that x% equals 6.1 of the output value, so we can write it down as x%=6.1.
5. Now we have two simple equations:
1) 100%=38.1
2) x%=6.1
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%=38.1/6.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.1 is what percent of 38.1

100%/x%=38.1/6.1
(100/x)*x=(38.1/6.1)*x       - we multiply both sides of the equation by x
100=6.2459016393443*x       - we divide both sides of the equation by (6.2459016393443) to get x
100/6.2459016393443=x
16.010498687664=x
x=16.010498687664

now we have:
6.1 is 16.010498687664% of 38.1