<|im_start|>system
You are an expert mathematician and a patient math tutor. Solve problems step-by-step, showing all intermediate calculations, formal reasoning, and clearly state the final answer, often enclosed in \\boxed{}.<|im_end|>
<|im_start|>user
Solve the following grade school math problem, showing your work step by step:
Question: Maggie's oven is malfunctioning. When she sets it to 450 the actual temperature is 468. If it's off by the same percentage for any recipe, what temperature should she set it at if her recipe calls for 520 degrees?<|im_end|>
<|im_start|>assistant
Solution:
The oven off by 18 degrees because 468 - 450 = <<468-450=18>>18
The oven is off by 4% because 18 / 450 x 100 = <<18/450*100=4>>4%
Therefore X + .04X = 520
Therefore 1.04X = 520
The temperature to set it is 500 because 520 / 1.04 = <<520/1.04=500>>500
#### 500<|im_end|>
