# Solving Problems With Percents

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Here are some examples: The conversion of percentages into ratios is done by placing the percentage number and then : (colon) and then 100.

A ratio is read as 12 is to 100 when you see 12 : 100. Here are some examples: Example 1: Calculating Problems Involving Percentages Your local grocery store is having a huge BOGO sale this week.

This conceptual understanding helps your visual learners especially and will also show students how you can use benchmark percents (25%, 50%, and 75%) to estimate the answer.

The percent proportion is a helpful tool for students to reference.

Solution: Percentage of matches lost = 25 %Therefore Percentage of matches won (100 - 25) % = 75 %Let the number of matches played be m.

If it won 15 matches, find the number of matches it played. Thus, the percentage of plot to be left without construction = 100 % - 75 % = 25 %. Solution: (i) Percentage scored in Mathematics = 60/90 × 100 % = 6000/90 % = 200/3 % = 66 % (ii) Total maximum of all the three subjects = 75 90 100 = 265 and Total score in the three subjects = 60 60 80 = 200 Therefore, percentage on the whole = (200/265 × 100) % = (20000/265) % = 4000/65 % = 75 Fraction into Percentage Percentage into Fraction Percentage into Ratio Ratio into Percentage Percentage into Decimal Decimal into Percentage Percentage of the given Quantity How much Percentage One Quantity is of Another? Reduce amount in percentage = 10 % Therefore, Percent value in percentage = 100 % - 10 % = 90 %.When I begin to teach part, whole, and percent problems, I explain to my students that there is nothing that I teach in my class that I use more often in my real life.Here is an example of how I would sequence the skill over the course of a couple of days.Typically, I give students three problems that are very similar and ask them, “Are we solving for the part, for the whole, or for the percent?00% = x : .39 50/100 = x / .39 x=.70 rounded off to the nearest penny In this example, you have paid .70 per box of cereal and you have also saved .69 per box of cereal.Example 2: Calculating Problems Involving Percentages You will be purchasing each of these shirts during the 30% off sale.” Allow students to grapple with the three different problems and ask them how they know. If a student can decipher what they are solving for and what the given information is, then it just becomes a multiplication and division problem.Consider using my prefered problem solving model here. Students are used to having at least three numbers and solving for an unknown fourth when solving proportion word problems.How much will you save with the purchase of these 4 shirts?When shirts are discounted by 30%, you will be paying only 70% of the regular price for the shirt.