To solve this problem, we need to determine the value of x, which represents the percentage increase in the price of the book.
Let's break down the information given:
Original price of the book: $400
Percentage decrease: 15%
Final price of the book: $476
To find the final price of the book after the decrease, we multiply the original price by (100% - 15%):
Final price after decrease = $400 * (100% - 15%) = $400 * 85% = $340
To find the increase in price, we subtract the final price after the decrease from the final price:
Increase in price = $476 - $340 = $136
We can set up the equation as follows:
Increase in price = x% * Final price after decrease
$136 = x% * $340
Let's simplify and solve for x:
136 = 340x/100
To isolate x, we multiply both sides of the equation by 100/340:
136 * (100/340) = (340x/100) * (100/340)
40 = x
The value of x is 40.
#### 40
The answer is: 40
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
The price of a book was $400. If the book's price is decreased by 15% and then increased by x%, The final price of the book is 476.

### Answer:
