If a number is increased by 15% and the result is 115, what is the original numb

If a number is increased by 15% and the result is 115, what is the original number?

If a number is increased by 15% and the result is 115, what is the original number?

Step 1: Let the original number be represented as 'x'.
Step 2: When the number is increased by 15%, it becomes 'x + 0.15x'.
Step 3: Combine 'x' and '0.15x' to get '1.15x'.
Step 4: Set the equation '1.15x = 115' because the result after the increase is 115.
Step 5: To find 'x', divide both sides of the equation by 1.15: 'x = 115 / 1.15'.
Step 6: Calculate '115 / 1.15' to find the value of 'x'.
Step 7: The result is 'x = 100', which is the original number.

Percentage Increase – Understanding how to calculate a percentage increase and its effect on a number.
Algebraic Manipulation – Using algebra to isolate the variable and solve for the original number.