In math, the ratio to percent counter is very useful to do comparisons the each part with the whole. A ratio compares any kind of two parts of a whole. For example, the ratio of sugar and also salt in a systems is 3:1. It is informing us that in the solution, sugar is 3 times the of salt. Percentages are a really specific type of ratio. A percent compares any type of one part of the whole against the whole, instead of make comparisons through the individual parts with every other. In the same example, the portion of sugar in the equipment is 75% and the percent of salt is 25%. But how did we transform 3:1 right into percentages? Let us learn about ratio come percent switch in this article.

You are watching: How to write a ratio as a percent

1.Ratio come Percent Formula
2.How to transform Ratio come Percent?
3.Ratio to portion Table
4.FAQs on proportion to Percent

Ratio come Percent Formula


There is a formula to convert the proportion to a percent. It can be applied directly with any values to obtain the forced percentage. The proportion to percent formula is provided below:

Percentage = proportion × 100

It is expressed with a portion symbol (%).


How to transform Ratio come Percent?


Before learning about the counter of proportion to percent, let us briefly talk about the definition of ratios and percents first. A proportion is a relation or a comparison in between two quantities of the exact same kind and also of the very same unit. There space three methods to express ratios, i m sorry are component to component ratios, part to whole ratios, and also whole to component ratios. Component to part ratios compare the quantity of two parts with each other. An instance of this connection is provided at the start of this short article (the proportion of sugar and also salt in a equipment is 3:1). An additional example can be the ratio of the number of boys and also girls in the class - 2:3. Taking the same example, if we stand for the ratio of the variety of boys and also the total number of students, the ratio would it is in 2:5 (as entirety = total variety of parts = 2 + 3= 5). This is an example of a part to totality ratio. The very same ratio, if stood for as 5:2, is an example of a whole-to-part relationship.

To transform the proportion to percent form, we need to first identify the ratio. And then we can use that ratio in the above 'ratio come percent formula' to gain the worth of percentage. Because that example, if that is provided that the ratio of apples to oranges in a basket is 5:8 and we have to uncover the portion of to apologize in the basket, climate we need to first find the proportion of to apologize to fruit in the basket. The total variety of fruits in the basket is 5 + 8, which is 13 fruits. So, the ratio of apples to fruits is 5:13. Now, us can uncover the portion as,

Percentage = %

Percentage = 5/13 × 100

Percentage = 38.46%

In the same way, the ratio of oranges to fruits is 8:13. The percent of oranges in the basket is <8/13 × 100> % = 61.54%. Look at one an ext example of convert 1:4 to percent in the picture below.

*

To conclude, the actions to convert a ratio to a percent are given below:

Step 1: determine the ratio.Step 3: main point the portion by 100.Step 4: Simplify and write the answer v the percent prize (%).

Ratio to portion Table


The ratio to percent table is a quick way to provide the portion values the some commonly used ratios. Look in ~ the proportion to percentage table offered below.

*

Topics associated to ratio to Percent

Check these amazing articles similar to the principle of ratio to percent in math.


Example 1: The primary grade students of a college are split into two houses - red house and blue house. If the proportion of college student of the blue house to the red home is 4:5, find the percentage of blue residence students in the school using the ratio to percent counter formula.

Solution: that is provided that all the student of primary grades in the institution are split into 2 houses. The ratio of blue home students come the red house is 4:5. So,

Total components of the totality = 4 + 5 = 9

The proportion of blue house students to the total students = 4/9

So, the portion of blue residence students in the college = 4/9 × 100% = 44.44%

Therefore, the forced percentage is 44.44%.


Example 2: What will certainly be the percentage of orange juice packets in a bucket include juice packets, if its proportion is 3:8?

Solution: The provided ratio of orange juice packets in a bucket comprise juice packets of different flavors is 3:8. So, making use of the proportion to percent formula - portion = %, us get, percent = 3/8 × 100 %.

Percentage that orange juice packets = 3/8 × 100 %

= 300/8 %

= 37.5%

Therefore, the forced percentage is 37.5%.


Example 3: convert 3:1 come percentage, making use of the actions of ratio to percent conversion.

Solution: The given ratio is 3:1. The steps of converting this ratio to percent are given below:

Step 1: compose the proportion in fractional form. So, 3:1 = 3/1.

Step 2: main point the portion obtained by 100. This indicates 3/1 × 100.

See more: Change 1.4 To A Fraction. - How To Convert Decimals To Fractions

Step 3: simplify it and also attach a percent sign with the answer. So, 3/1 × 100 = 300%.