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Last updated on August 5, 2025

90 out of 120 as a Percentage

Professor Greenline Explaining Math Concepts

Numbers can be categorized into different types. Percentages are a way to express numbers as a fraction of 100. It is represented by the symbol %. Percentages are used to compare proportions. For example, to find out what percentage 90 is of 120, we will learn how to convert a fraction to a percentage.

90 out of 120 as a Percentage for US Students
Professor Greenline from BrightChamps

What is 90 out of 120 as a Percentage?

90 out of 120 as a percentageAnswer

The answer for 90 out of 120 as a percentage is 75%.

 

Explanation

Converting a fraction to a percentage is a task that can be done easily. You can follow the steps mentioned below to find the answer.

 

Step 1: Firstly, express the numbers as a fraction. Here, 90 is the numerator and 120 is the denominator. So, the fraction is 90/120.

 

Step 2: Simplify the fraction if possible. The greatest common divisor (GCD) of 90 and 120 is 30. Divide the numerator and the denominator by their GCD. 90/120 = (90 ÷ 30)/(120 ÷ 30) = 3/4

 

Step 3: Convert the simplified fraction to a percentage by multiplying it by 100. 3/4 × 100 = 75

 

Thus, 90 out of 120 can be expressed as 75%.

Professor Greenline from BrightChamps

Important Glossaries for 90 out of 120 as a Percentage

 

  • Fraction: A numerical quantity that represents a part of a whole.

 

  • Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

 

  • Denominator: The bottom part of a fraction, showing how many parts make up a whole.

 

  • Greatest Common Divisor (GCD): The largest number that divides two or more numbers without leaving a remainder.
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