Express :
80 cm as a per cent of 2 m 50 cm

Answer

To express 80 cm as a percent of 2 m 50 cm, we can follow these steps:

### Step 1: Convert meters to centimeters
First, we need to convert 2 meters and 50 centimeters into centimeters. We know that:
- 1 meter = 100 centimeters

So, for 2 meters:
\[ 2 \text{ m} = 2 \times 100 \text{ cm} = 200 \text{ cm} \]
Adding the 50 cm:
\[ 2 \text{ m} 50 \text{ cm} = 200 \text{ cm} + 50 \text{ cm} = 250 \text{ cm} \]

### Step 2: Set up the percentage formula
To find out what percent 80 cm is of 250 cm, we use the formula:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]
In this case, the part is 80 cm and the whole is 250 cm:
\[ \text{Percentage} = \left( \frac{80 \text{ cm}}{250 \text{ cm}} \right) \times 100 \]

### Step 3: Calculate the fraction
Now, we calculate the fraction:
\[ \frac{80}{250} \]

### Step 4: Multiply by 100
Next, we multiply the fraction by 100 to convert it to a percentage:
\[ \text{Percentage} = \left( \frac{80}{250} \right) \times 100 \]

### Step 5: Simplify the calculation
To simplify:
\[ \frac{80 \times 100}{250} = \frac{8000}{250} \]

### Step 6: Perform the division
Now, we can divide 8000 by 250:
\[ 8000 \div 250 = 32 \]

### Final Answer
Thus, 80 cm is equal to **32%** of 2 m 50 cm.

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