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Back to Percentages Units

A percentage describes how many parts there are out of one hundred parts of a particular thing.  If there are 60% of the people in a theatre with brown eyes, then for every 100 people in the theatre, 60 of them have brown eyes. Percentages can be changed to fractions or decimals and visa versa. Quantities can be calculated using percentages. If there are 250 people in the theatre approximately how many have brown eyes? 60% of 250 Percentages can be found by creating a fraction first. The capacity of the theatre is 500.  There are 125 patrons for a particular session. ie 125 out of a possible 500.  This can be written as

 

Examples

To change a fraction to a percentage multiply by 100. To change a decimal to a percentage multiply by 100. How much is 5% of 300 people? To do this calculation we change the percentage as a "part over one hundred", and multiply by the number of people. Calculation of percentage. 206 people enter the theatre.  96 of the patrons paid full fare. What percentage of the patrons paid full fare?

 

Have a Go Problem 1 Percentages to Fractions: Change the percentage 82% to an ordinary fraction(in its lowest terms) and then find 82% 0f $500. Problem 2 Percentages to Decimals: Convert 120% to  a decimal number.   Problem 3 Quantity: A walking track is 7 km long.  9% of it is need of repair.  How much of the track is in bad condition? Problem 4 Creating Percentages: What percentage is 54 sec of 3 min?

 

Practice Questions Question 1 Change to Percentages: answer (a) 150 % (b) 56 % Question 2 Change to a fraction: 2a)    39%               b)    12%   answer (a) 39/100 (b) 3/25   Question 3 Write as a decimal:   answer (a) 0.1 (b) 0.625   Question 4 Expressing as a quantity:   answer (a) $94.50 (b) 62.5 g

 

Solution 1 Change the percentage 82% to an ordinary fraction(in its lowest terms) and then find 82% 0f $500. 82%   back to Have a Go

Solution 2   In this example the percentage is greater than 100 and the decimal is greater than 1.       back to Have a Go

Solution 3   back to Have a Go

Solution 4   back to Have a Go

 

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