eli5 The percentage rule

Question

Can someone explain how/why X% of Y is equal to Y% of X? I know it’s true but I can’t figure out why. Thanks!

In: 10

Answer 1

Think of it this way. Let’s take 25 percent of 3. We’ll you can write this as 0.25 x 3
Now flip it. 3 percent of 25. Well that’s just 0.03 X 25. They’re the same thing! Just a factor of 100 different both sides.

Answer 2

Think of it this way. Let’s take 25 percent of 3. We’ll you can write this as 0.25 x 3
Now flip it. 3 percent of 25. Well that’s just 0.03 X 25. They’re the same thing! Just a factor of 100 different both sides.