If P is 40% less than Q, than Q is how much percentage more than P

Let's break this down step by step:

1. **Given:**  
   - \( P \) is 40% less than \( Q \).

   This means \( P = Q - 0.4Q = 0.6Q \).

2. **Find:**  
   - What percentage is \( Q \) more than \( P \).

To find the percentage by which \( Q \) is more than \( P \), we use the formula:

\[
\text{Percentage increase} = \frac{Q - P}{P} \times 100
\]

Since \( P = 0.6Q \), substitute this into the formula:

\[
\text{Percentage increase} = \frac{Q - 0.6Q}{0.6Q} \times 100 = \frac{0.4Q}{0.6Q} \times 100 = \frac{2}{3} \times 100 = 66.67\%
\]

So, \( Q \) is **66.67% more** than \( P \).

Would you like more details or further explanations? Here are some related questions:

1. If \( P \) is 60% less than \( Q \), what percentage is \( Q \) more than \( P \)?
2. If \( Q \) is 30% more than \( P \), what is \( P \) as a percentage of \( Q \)?
3. How do you calculate percentage difference between two numbers in general?
4. If \( P = 0.75Q \), what is \( Q \) as a percentage of \( P \)?
5. What would the answer be if the percentage difference were reversed (i.e., how much less is \( P \) than \( Q \))?

**Tip:** To compare percentages, always relate the percentage increase or decrease to the original value being compared!

If P is 40% less than Q, then Q is how much percentage more than P?

Discover how to calculate the percentage by which Q is more than P when P is 40% less than Q. This detailed solution breaks down the percentage comparison formula, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation