If 35% of a number is 175, then what percent of 175 is that number ?

Answer: Option D

Let the number be x
Then, 35% of x = 175
⇔ $$\frac{35}{100}$$ × x = 175
⇔ $$\frac{175\times 100}{35}$$   = 500
Now, let y% of 175 = 500
Then, $$\frac{y}{100}$$ × 175 = 500
⇔ y = $$\frac{500\times 100}{175}$$
⇔ y = $$\frac{2000}{7}$$
⇔ y = $$285\frac{5}{7}$$