4.71 is what percent of 21.71 - 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 21.71 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 21.71, so we can write it down as 100%=21.71.
4. We know, that x% equals 4.71 of the output value, so we can write it down as x%=4.71.
5. Now we have two simple equations:
1) 100%=21.71
2) x%=4.71
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%=21.71/4.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.71 is what percent of 21.71

100%/x%=21.71/4.71
(100/x)*x=(21.71/4.71)*x       - we multiply both sides of the equation by x
100=4.6093418259023*x       - we divide both sides of the equation by (4.6093418259023) to get x
100/4.6093418259023=x
21.69507139567=x
x=21.69507139567

now we have:
4.71 is 21.69507139567% of 21.71