Math Problem Statement

the percentage of a partial amount

An international company has 25,700 employees in one country. If this represents 31.1% of the company's employees, how many employees does it have in total?

Round your answer to the nearest whole number

Solution

To find the total number of employees the company has, we use the formula:

Total Employees=Partial EmployeesPercentage in Decimal Form\text{Total Employees} = \frac{\text{Partial Employees}}{\text{Percentage in Decimal Form}}

In this case:

  • The number of employees in one country (partial employees) is 25,700.
  • The percentage is 31.1%, which in decimal form is 0.311.

Now we can calculate:

Total Employees=25,7000.311\text{Total Employees} = \frac{25,700}{0.311}

Let's compute this.

Total Employees82,639\text{Total Employees} \approx 82,639

Therefore, the company has approximately 82,639 employees in total.

Would you like more details on this? Here are five related questions:

  1. What if the percentage was 40%? How would the total employees change?
  2. How can you calculate percentages in reverse for other examples?
  3. Can this formula be applied to any proportion problems?
  4. What are some common real-world applications of these calculations?
  5. How do you calculate percentages for multiple countries' employees?

Tip: Always convert percentages to decimal form by dividing by 100 before performing calculations.

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Math Problem Analysis

Mathematical Concepts

Percentage
Proportions
Division

Formulas

Total Employees = Partial Employees / (Percentage in Decimal Form)

Theorems

Percentage Proportion Theorem

Suitable Grade Level

Grades 8-10