Finding Percentage Increase and Decrease with Algebraic Terms

Published on August 18, 2026

Algebra

Learn how to find the percentage increase and decrease when working with algebraic multipliers like 1.7q and 0.6r. Step-by-step instructions show how to convert decimals into percentages to solve the problem.

Question

Answer

To solve these problems, we need to understand how multiplying a variable by a decimal relates to percentage increases and decreases.

Part 1:

We are asked to find the percentage increase from

The original value is , which is equivalent to of .
The new value is , which is equivalent to of (since ).
The increase is the difference between the new percentage and the original percentage:

So,

is the same as

increased by .

Part 2:

We are asked to find the percentage decrease from

The original value is , which is equivalent to of .
The new value is , which is equivalent to of (since ).
The decrease is the difference between the original percentage and the new percentage: