21.71 is what percent of 28.95 - 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 28.95 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 28.95, so we can write it down as 100%=28.95.
4. We know, that x% equals 21.71 of the output value, so we can write it down as x%=21.71.
5. Now we have two simple equations:
1) 100%=28.95
2) x%=21.71
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%=28.95/21.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.71 is what percent of 28.95

100%/x%=28.95/21.71
(100/x)*x=(28.95/21.71)*x       - we multiply both sides of the equation by x
100=1.333486872409*x       - we divide both sides of the equation by (1.333486872409) to get x
100/1.333486872409=x
74.991364421416=x
x=74.991364421416

now we have:
21.71 is 74.991364421416% of 28.95