📊 Percentage Relationship 📊

Given:

A = x% of y

B = y% of x

We can write these as:

A = (x/100) × y

B = (y/100) × x

Now, let’s examine the relationship between A and B:

A = (x/100) × y

B = (y/100) × x

Multiply both sides of the first equation by 100:

100A = xy

Multiply both sides of the second equation by 100:

100B = yx

Since xy = yx (multiplication is commutative):

100A = 100B

Divide both sides by 100:

A = B

🎉 Therefore, A is equal to B. 📊