Which of the following fractions could be described as a percentage?

- \[0.5\]
- \[\frac{40}{100}\]
- \[50\%\]
- \[\frac{3}{10}\]
- \[\frac{546}{100}\]
- \[750\%\]

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Multiplying & dividing mixed numbers

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Converting percentages

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Finding a percentage of a number

Percentages are hard. Even though they are a concept that most people think they understand, there are many different types of problem, which on a surface level, appear to be similar, but actually require a wholly different method. In the section, I will be going through all of the important aspects of working with percentages, starting with what a percentage is and going on to look at reverse percentages and compound interest. Below is a list of sub-topics which we will work with here.

- What is a percentage?
- Converting between a percentage and other similar forms.
- Finding a percentage of a quantity.
- Increasing a quantity by a percentage
- Decreasing a quantity by a percentage
- Expressing one quantity as a percentage of another
- Repeated increases and decreases over time
- Undoing a percentage increase or decrease
- Summary of question types