What per cent of 1 day is 36 minutes?

Options

A. `25%`
B. `2.5%`
C. `3.6%`
D. `0.25%`

Answer

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

### Step 1: Convert 1 day into minutes
1 day is equal to 24 hours. Since each hour has 60 minutes, we can calculate the total minutes in one day:
\[ \text{Total minutes in 1 day} = 24 \text{ hours} \times 60 \text{ minutes/hour} = 1440 \text{ minutes} \]

### Step 2: Set up the percentage equation
We need to find out what percentage \( X \) of 1440 minutes is equal to 36 minutes. The equation can be set up as:
\[ X\% \text{ of } 1440 = 36 \]
This can be rewritten as:
\[ \frac{X}{100} \times 1440 = 36 \]

### Step 3: Solve for \( X \)
To isolate \( X \), we can rearrange the equation:
\[ X = \frac{36 \times 100}{1440} \]

### Step 4: Calculate the value of \( X \)
Now, we will perform the calculation:
\[ X = \frac{3600}{1440} \]
Next, we simplify \( \frac{3600}{1440} \):
\[ X = \frac{3600 \div 720}{1440 \div 720} = \frac{5}{2} = 2.5 \]

### Conclusion
Thus, \( X = 2.5 \). Therefore, 36 minutes is **2.5%** of one day.

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