A percent proportion is one equation whereby a portion (%) that the whole is equal come the part of the totality or we have the right to say the is an equation whereby a percent is equal to one equivalent ratio.

You are watching: What is the difference between a rate and a ratio

 1 What is Percent Proportion? 2 Percent ratio Formula 3 Percent ratio Examples 4 Practice Questions 5 FAQs top top Percent Proportion

When the proportion of part to totality is equal to the ratio of a percent to 100, shows a percent same to an tantamount ratio, we speak to it a percent proportion. A percentage is a portion expressed v 100 together the denominator. As soon as two ratios space equal, castle are claimed to be in proportion. Proportions are denoted by utilizing the signs "=" or "::". For example, 1/5 :: 20/ 100, and the given proportion is read as "1 is to 5 equals to 20 is come 100".

### Percentage in the kind of a portion Shows Proportion

Following room the given examples that present how the portion is converted into fractions and also shows the proportion.

25% means 25 parts out that 100 and 25/100 = 1/4 the the total parts (whole). So, the provided proportion is read as "25 is come 100 equals come 1 is come 4".40% means 40 components out of 100 and also 40/100 = 2/5 the the complete parts (whole). So, the provided proportion is check out as "40 is to 100 amounts to to 2 is come 5".75% means 75 components out the 100 and also 75/100 = 3/4 that the complete parts (whole). So, the offered proportion is review as "75 is come 100 equates to to 3 is to 4".

The percent relationship formula helps in addressing problems. The is expressed in type of PART/WHOLE = PERCENT/100, where,

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

For example, 30 is what percent of 60? Here IS and also OF are supplied in concern where IS is part and of is WHOLE. Currently with the aid of formula, Part/Whole = Percent/100 ⇒ 30 / 60 = Percent /100 ⇒ Percent = (30 / 60) × 100 = 50%Taking one more example, What number is 10 % of 50?Part/Whole = Percent/100 ⇒ Part/50 = 10/100 ⇒ part = 5. Therefore, 10% that 50 is 5. ### Related articles on Percent Proportion

Check out these interesting posts to know an ext about the percent proportion and its related topics.

Example 1: What number is 15% of 300?

Solution:

Using the percent relationship formula, us have, Part/Whole = Percent/100. Here, part is the absent value the we need to find, the entirety is 300, and also percent is 15. So, Part/300 = 15 /100 = 45 is the number. Therefore, 15% that 300 is 45.

Example 2: resolve the adhering to using percent ratio formula: 50 is 40% that what number?

Solution:

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

50/WHOLE = 40/100

(50 × 100 )/ 40 = 125

Hence, 40% the 125 is 50.

Example 3: What number is 60% of 500?

Solution:

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

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

View an ext >

go to slidego to slidego to slide

Breakdown tough principles through an easy visuals.

See more: How Many Ounces Is 8 Pounds, How Many Ounces In A Pound (Oz In Lb)

Math will certainly no longer be a difficult subject, especially when you understand the ideas through visualizations.