21 is what percent of 482 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 482 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 482, so we can write it down as 100%=482.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=482
2) x%=21
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%=482/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 482

100%/x%=482/21
(100/x)*x=(482/21)*x       - we multiply both sides of the equation by x
100=22.952380952381*x       - we divide both sides of the equation by (22.952380952381) to get x
100/22.952380952381=x
4.356846473029=x
x=4.356846473029

now we have:
21 is 4.356846473029% of 482

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