4.81 is what percent of 41.81 - 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 41.81 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 41.81, so we can write it down as 100%=41.81.
4. We know, that x% equals 4.81 of the output value, so we can write it down as x%=4.81.
5. Now we have two simple equations:
1) 100%=41.81
2) x%=4.81
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%=41.81/4.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.81 is what percent of 41.81

100%/x%=41.81/4.81
(100/x)*x=(41.81/4.81)*x       - we multiply both sides of the equation by x
100=8.6923076923077*x       - we divide both sides of the equation by (8.6923076923077) to get x
100/8.6923076923077=x
11.504424778761=x
x=11.504424778761

now we have:
4.81 is 11.504424778761% of 41.81