Solving Percent Problems Using Equations

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This tutorial let's you see the steps to take in order to do just that! Always stay under budget by figuring out your total cost BEFORE you hit the check out.

Watch this tutorial and learn how to calculate sales tax!

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100, which means, a part per hundred. It is to be noted that, percentages have no dimension, hence are dimensionless numbers. For each white chocolate bar, the ratio of the number of dark chocolate boxes to the total number of white chocolate bars can be represented as a fraction.

Two quantities are generally expressed on the basis of their ratios.

As usual, this problem requires to steps: Step 1: Write 8% as a decimal number: 8% = 0.08 Step 2: Divide 32 and 0.08: 32 ÷ 0.08 = 400 Type 4: percentage increase: What is the percentage increase from 20 to 90?

In this type of problem we use formula $$ \text = \frac \cdot 100 \% $$ Using our numbers we have: $$ \text = \frac \cdot 100 \% = \frac \cdot 100 \% = 350 \% $$ Type 4: percentage decrease: What is the percentage decrease from 160 to 40?

Then, plot those decimals on a number line and compare them! Looking for some practice converting percents to fractions? Follow along as this tutorial shows you how to convert a percent to a fraction.

Then, reduce the fraction to put it in simplest form. Converting decimals into percents is easier than you may think!

Learn how to calculate percentage from this lesson.

Here, let us understand the concepts of percentage through a few examples in a much better way. The actual interpretation of percentages can be understood by the following way: The same quantity can be represented in terms of percentage occupied, which is given as: Total quantity present = 5 kg Ratio of apples (in terms of total quantity) = % Thus fraction can be converted to percentage simply by multiplying the given fraction by 100.


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