What percent of 1 day is 36 minutes?

Options

A. a. 25%
B. b.2.5%
C. c.3.6%
D. d.0.25%

Answer

To find out what percent of 1 day is 36 minutes, we can follow these steps:

### Step 1: Calculate the total number of minutes in one day.
1. We know that there are 24 hours in a day.
2. Each hour has 60 minutes.
3. Therefore, the total number of minutes in one day is calculated as:
\[ \text{Total minutes in a day} = 24 \text{ hours} \times 60 \text{ minutes/hour} = 1440 \text{ minutes} \]

### Step 2: Set up the percentage formula.
To find out what percent 36 minutes is of 1440 minutes, we use the formula for percentage:
\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]
In this case, the part is 36 minutes and the whole is 1440 minutes.

### Step 3: Substitute the values into the formula.
Substituting the values we have:
\[ \text{Percentage} = \left( \frac{36}{1440} \right) \times 100 \]

### Step 4: Simplify the fraction.
1. First, simplify \( \frac{36}{1440} \):
- We can divide both the numerator and the denominator by 36:
\[ \frac{36 \div 36}{1440 \div 36} = \frac{1}{40} \]

### Step 5: Calculate the percentage.
Now, substituting back into the percentage formula:
\[ \text{Percentage} = \left( \frac{1}{40} \right) \times 100 \]
Calculating this gives:
\[ \text{Percentage} = \frac{100}{40} = 2.5 \]

### Conclusion:
Thus, 36 minutes is **2.5%** of one day.

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