- Converting Between Fractions, Decimals, and Percents
- Home
- Converting a Fraction with a Denominator of 100 to a Percentage
- Converting a Percentage to a Fraction with a Denominator of 100
- Finding the Percentage of a Grid that is Shaded
- Representing Benchmark Percentages on a Grid
- Introduction to Converting a Percentage to a Decimal
- Introduction to Converting a Decimal to a Percentage
- Converting Between Percentages and Decimals
- Converting Between Percentages and Decimals in a Real-World Situation
- Converting a Percentage to a Fraction in Simplest Form
- Converting a Fraction to a Percentage: Denominator of 4, 5, or 10
- Finding Benchmark Fractions and Percentages for a Figure
- Converting a Fraction to a Percentage: Denominator of 20, 25, or 50
- Converting a Fraction to a Percentage in a Real-World Situation

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# Finding the Percentage of a Grid that is Shaded

In this lesson, we usually are given 10 × 10 grids having 100 squares. Some of these squares are shaded. We are asked to find the percentage of squares that are shaded.

**Rule for finding the percentage of shaded squares**

First the shaded squares are counted and the number of such squares is found.

This number of shaded squares is out 100 squares in the 10 × 10 grid.

Therefore, by definition of a percentage, this number itself is the percentage of shaded squares in the grid.

For example, if the number of shaded squares in a 10 × 10 grid is say 18, then the percentage of shaded squares in the grid is 18%.

Write the percentage of the shaded squares for given grid

### Solution

**Step 1:**

Given is 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 number of shaded squares is 71. Therefore, the percentage of the shaded squares is 71%

Write the percentage of the shaded squares for given grid

### Solution

**Step 1:**

Given is 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 number of shaded squares is 14. Therefore, the percentage of the shaded squares is 14%

Write the percentage of the shaded squares for given grid

### Solution

**Step 1:**

Given is 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 number of shaded squares is 65. Therefore, the percentage of the shaded squares is 65%