Instructions: Write the data in the boxes and press the Calculate button to see the result in the yellow box. In the case of decimals, it is approximated with 2 digits (for example, if the result is 10,998, the calculator provides 11). Calculators write the data in a table and use the rule of three, showing the operations and a percentage bar.
A percentage is a particular kind of ratio where the value of the denominator is always equal to 100.
\(n\%\) is equal to the fraction \(n/100\), and it means "\(n\) in a hundred".
50% is a half of the total number.
25% is a quarter of the total number.
20% is a fifth of the total number.
To calculate a percentage, we will use the rule of three.
If there are 20 boys in a class of 80 students, the percentage of boys is 15% of the total number of students:
85% of the students are girls, since 15% + 85% = 100%.
Description: calculate the percentage of a number.
% of is .
Operations
| \(n\) | % |
|---|---|
| \( x \) | 20 |
200 |
100 |
Representation
Description: calculate the total value given a percentage.
If % is , then the total is .
Operations
| \(n\) | % |
|---|---|
20 |
10 |
| \(x\) | 100 |
Representation
Description: calculate what percentage of the total is a given number.
If the total is, the is %.
Operations
| \(n\) | % |
|---|---|
40 |
\(x\) |
200 |
100 |
Representation
Description: calculate a percentage given another percentage.
If % is , then % is .
Operations
| \(n\) | % |
|---|---|
10 |
60 |
| \(x\) | 30 |
Representation
Description: calculate the final price after a percentage decrease.
If the original price is $ and we reduce the price by %, the final price will be $.
Operations
| $ | % |
|---|---|
60 |
100 |
| \(x\) | 90 |
Representation
Description: calculate the final price after a percentage increase.
If the original price is $ and we increase the price by %, the final price will be $.
Operations
| $ | % |
|---|---|
60 |
100 |
| \(x\) | 110 |
Description: calculate a percentage increase or decrease knowing the original and final price. A negative percentage indicates a decrease.
If the original price was $, and the final price is $ , then the percentage is %.
Operations
| $ | % |
|---|---|
10 |
100 |
5 |
\(x\) |