Find the Solution to a Porportion

Percent Proportion

A percent proportion is an equation where a percentage (%) of the whole is equal to the part of the whole or we can say it is an equation where a percent is equal to an equivalent ratio.

What is Percent Proportion?

When the ratio of part to whole is equal to the ratio of a percent to 100, shows a percent equal to an equivalent ratio, we call it a percent proportion. A percentage is a fraction expressed with 100 as the denominator. When two ratios are equal, they are said to be in proportion. Proportions are denoted by using the symbols "=" or "::". For example, 1/5 :: 20/ 100, and the given proportion is read as "1 is to 5 equals to 20 is to 100".

Percentage in the Form of a Fraction Shows Proportion

Following are the given examples that show how the percentage is converted into fractions and shows the proportion.

25% means 25 parts out of 100 and 25/100 = 1/4 of the total parts (whole). So, the given proportion is read as "25 is to 100 equals to 1 is to 4".
40% means 40 parts out of 100 and 40/100 = 2/5 of the total parts (whole). So, the given proportion is read as "40 is to 100 equals to 2 is to 5".
75% means 75 parts out of 100 and 75/100 = 3/4 of the total parts (whole). So, the given proportion is read as "75 is to 100 equals to 3 is to 4".

Percent Proportion Formula

The percent proportion formula helps in solving problems. It is expressed in form of PART/WHOLE = PERCENT/100, where,

PERCENT is the number with a percent sign.
PART is the number with the word IS.
WHOLE is the number with the word OF.

For example, 30 is what percent of 60? Here IS and OF are used in question where IS is PART and OF is WHOLE. Now with the help of formula, Part/Whole = Percent/100 ⇒ 30 / 60 = Percent /100 ⇒ Percent = (30 / 60) × 100 = 50%
Taking another example, What number is 10 % of 50?
Part/Whole = Percent/100 ⇒ Part/50 = 10/100 ⇒ Part = 5. Therefore, 10% of 50 is 5.

Percent proportion

Percent Proportion Examples

Example 1: What number is 15% of 300?

Solution:

Using the percent proportion formula, we have, Part/Whole = Percent/100. Here, part is the missing value that we have to find, the whole is 300, and percent is 15. So, Part/300 = 15 /100 = 45 is the number. Therefore, 15% of 300 is 45.
Example 2: Solve the following using percent proportion formula: 50 is 40% of what number?

Solution:

Using formula, Part/Whole = Percent/100. Here, part is 50, the percent is 40, and we have to find the whole.

50/WHOLE = 40/100

(50 × 100 )/ 40 = 125

Hence, 40% of 125 is 50.
Example 3: What number is 60% of 500?

Solution:

Using the percent proportion formula, we have, Part/Whole = Percent/100. Here, percent is 60, whole is 500, and we have to find the value of the part.

PART/500 = 60 /100 = 300 is the number. Therefore, 60% of 500 is 300.

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Practice Questions on Percent Proportion

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FAQs on Percent Proportion

How do you Find Percent Proportions?

We can find the percent proportion by using the given formula i.e. Parts /whole = percent/100. For example, 50% of 100 is 50 in number ⇒ Parts taken/100 = 50/100 = 50

Is Proportion Equal to a Percentage?

Proportion is the relation or the equality between two ratios or fractions, while the percentage is a ratio or a fraction whose denominator is always 100. Both proportion and percentage can be written as fractions. The percentage is out of 100. The Proportion is out of any given total.

What is the Relationship Between Proportion and Percentage?

The relationship between proportion and percentage is when a proportion is multiplied by 100 it gives the percentage of parts taken i.e.(Parts /whole) × 100 = percent. Similarly, when a percent is multiplied by total it gives the number of parts taken i.e. Parts = percent × whole.

How do you Solve Percent Proportion?

While solving the percent proportions find the missing part of a whole when the percentage is given (Parts = percent × whole) and if part of the whole is given then find the missing percentage [(Parts /whole) × 100 = percent]. For example, 40% of 100 is 40 ⇒ (40/100) × 100 = 40, here 40 is parts taken and 100 is whole and 40% is the percent.

What Percent of 50 is 25 Proportion?

By using the formula, Parts /whole = percent/100, ⇒ 25/ 50 × 100 = 50%. So, 50 % of 50 is 25 proportion.

What is the Formula for Percent Proportion?

The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.

Find the Solution to a Porportion

Source: https://www.cuemath.com/commercial-math/percent-proportion/

Riordan Thenstuthe