Questions: In the following statement, express the first number as a percentage of the second number. On one particular day there were 5101 deaths attributed to a virus in a particular country and 132,954 new cases.
The number of deaths was % of the total number of new cases. (Round to the nearest tenth as needed.)
In the following statement, express the first number as a percentage of the second number. On one particular day there were 5101 deaths attributed to a virus in a particular country and 132,954 new cases.
The number of deaths was % of the total number of new cases. (Round to the nearest tenth as needed.)
Solution
Solution Steps
Step 1: Identify the given numbers
The number of deaths is \( 5101 \), and the number of new cases is \( 132,954 \).
Step 2: Calculate the percentage
To express the number of deaths as a percentage of the number of new cases, use the formula:
\[
\text{Percentage} = \left( \frac{\text{Number of deaths}}{\text{Number of new cases}} \right) \times 100
\]
Substitute the given values:
\[
\text{Percentage} = \left( \frac{5101}{132954} \right) \times 100
\]
Step 3: Perform the calculation
First, divide \( 5101 \) by \( 132954 \):
\[
\frac{5101}{132954} \approx 0.03837
\]
Next, multiply by \( 100 \) to convert to a percentage:
\[
0.03837 \times 100 \approx 3.837
\]
Step 4: Round to the nearest tenth
Round \( 3.837 \) to the nearest tenth:
\[
3.837 \approx 3.8
\]
Final Answer
The number of deaths was \(\boxed{3.8\%}\) of the total number of new cases.