What is 45/75 as a percent?

Converting fractions to a percentage can be very helpful. Let's go through the steps to change a decimal into a percentage.

You can try different values to learn more about the conversion process.

Often, convert 59/100 to a percent or 0.604 to a percent, depending on the task.

Determining the scaling factor:

4575=1005= 100 ÷ 5 = 1.3333333333333

Applying a scaling factor to convert fractions to percentages:

45 × 1.333333333333375 × 1.3333333333333=60100 = 0.6 × 100 = 60%

Solution:

45/75 = 60%

What is a fraction?

A fraction represents parts of a whole. It has a top number (numerator) and a bottom number (denominator). For example, 3/4 means three out of four equal parts.

What is a percent?

A percent represents parts of a hundred. The symbol “%” shows proportions. 50% means half, and 200% means double the original value.

For fractions:

In this guide, we’ll be focusing on the fraction 45/75 and how to convert it into its percentage equivalent.

Method 1 – Fraction Scaling:

  1. Understanding Fractions: At the heart of every fraction, there's a division taking place. The numerator denotes the 'portions' we're focused on. The denominator reveals the total possible 'portions'. So, when we say 4575, we're essentially talking about 45 'portions' out of an available 75.
  2. Explanation of Percentage: The term “Percent” has Latin roots, where “cent” means a hundred. So, a percentage essentially portrays a fraction where the denominator is always 100. For illustration, when we state 50%, it translates to 50 out of 100 or 50100 in fraction terms.
  3. Transformation Process: To convert 4575 into a percentage, we must multiply the fraction to have 100 as its denominator. Begin by determining the factor by which 75 can be multiplied to get 100. This factor is 10075 = 1.3333333333333. Following this logic, multiply both the numerator and denominator by 1.3333333333333:45 × 1.333333333333375 × 1.3333333333333 = 60100.
  4. Final Step: Once multiplied, the fraction denotes 60 out of 100, which is equivalent 60%.

Method 2 – Using Decimals:

  1. Fraction to Decimal Transformation: Begin by expressing 4575 as a decimal. This step requires simple division: divide the numerator (45) by the denominator (75), resulting in 0.6.
  2. Decimal to Percentage Conversion: Now, transform this decimal into a percentage. So, 0.6 multiplied by 100 equals 60%.
  3. Wrapping Up: Through the decimal conversion method as well, 4575 is equivalent of 60% when expressed as a percentage.

Both methods, while distinct in approach, provide the same result. You can choose to use either the direct fraction scaling method or the decimal conversion method.