A local company carried out their annual employee survey. While waiting for the main results to be analysed, it received details of the numbers of people who completed the survey for each business area.

The table below shows survey response rates by business area and the number of employees asked to complete the survey.

Business Area	Number of responses	Total surveyed	Response rate
Finance 	10	20	50%
Human Resources	13	30	43%
Information Technology	18	64	28%
Policy	118	380	31%
Customer Services	132	365	36%
Operations	216	590	37%
Facilities	18	52	35%
Commercial	33	51	65%
Overseas	28	67	42%

What is the total percentage of responses received?

To calculate the total percentage of responses received across all business areas, we need to first determine the overall response rate. This involves:

1. Summing the **total number of responses**.
2. Summing the **total number of employees surveyed**.
3. Dividing the total number of responses by the total number of employees surveyed, and then multiplying by 100 to get the percentage.

Let's break it down step by step.

### Step 1: Summing the total number of responses
\[
10 + 13 + 18 + 118 + 132 + 216 + 18 + 33 + 28 = 586
\]

### Step 2: Summing the total number of employees surveyed
\[
20 + 30 + 64 + 380 + 365 + 590 + 52 + 51 + 67 = 1619
\]

### Step 3: Calculating the total response rate
\[
\text{Total response rate} = \left( \frac{586}{1619} \right) \times 100
\]

\[
\text{Total response rate} \approx 36.19\%
\]

So, the overall percentage of responses received is approximately **36.19%**.

Would you like any further details or clarifications on this?

Here are 5 follow-up questions to expand this discussion:
1. How can individual department response rates impact overall company morale?
2. What could be done to improve response rates across departments with lower participation?
3. How does the response rate relate to the validity or reliability of the survey data?
4. What strategies could the company employ to encourage more survey completions in the future?
5. What could be the consequences of low response rates in critical departments like Human Resources?

**Tip:** When calculating totals or averages, always double-check that all components (like responses and surveyed) are included in your calculations for accuracy.

A local company carried out their annual employee survey. While waiting for the main results to be analysed, it received details of the numbers of people who completed the survey for each business area. What is the total percentage of responses received?

Learn how to calculate the total response rate for a company-wide employee survey. The problem involves summing responses, calculating proportions, and determining the overall percentage. Perfect for students in Grades 5-7 to strengthen their understanding of percentages and real-world math applications.

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