A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.
What are Percentages?
A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 15% of x equals 20% of y. Therefore, we can write,
15% of x = 20% of y
(15/100) × x = (20/100) × y
Multiply both the sides of the equation by 100,
(15/100) × x × 100 = (20/100) × y × 100
15x = 20y
x/y = 20/15
Divide both the sides of the equation by 5,
x/y = 4/3
Now, the percentage of x that is y is,
Percentage = (x/y) × 100%
= (x/y) × 100%
= (4/3) × 100%
= 133.33%
= 133 ¹/₃ %
Hence, x is 133.33¹/₃% of y.
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