Representing Benchmark Percentages on a Grid

Introduction

Benchmark percentages are rounded percentages that we often use. 1%, 10%, 25%, 3313%3313% and their multiples are some benchmark percentages

We sometimes use a benchmark percentage that is close to a given percentage to estimate. Here are some common benchmark percentages and their fractional equivalents.

S.No	Fraction	Benchmark Percentage
1	110110	10%
2	1515	20%
3	1414	25%
4	1212	50%
5	3434	75%
6	1	100%

To estimate 47%, you could use 50% as a benchmark percent.Example 1

Represent the benchmark percentage of the following percentage on a grid.

24%

Solution

Step 1:

We consider a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The benchmark percentage of 21% is 20%. To show 20% on the grid, we show 20 shaded squares as shown below.Example 2

Represent the benchmark percentage of the following percentage on a grid.

59%

Solution

Step 1:

We consider a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The benchmark percentage of 59% is 60%. To show 60% on the grid, we show 60 shaded squares as shown below.Example 3

Represent the benchmark percentage of the following percentage on a grid.

74%

Solution

Step 1:

We consider a 10 × 10 grid having 100 squares.

The number of shaded squares gives the percentage of the grid as that is out of a total of 100 squares.

Step 2:

The benchmark percentage of 74% is 75%. To show 75% on the grid, we show 75 shaded squares as shown below.