If 115% of a number is 460, what is 75% of the number

[math_celebrity]

If 115% of a number is 460, what is 75% of the number.

Let the number be n. We're given:
115% * n = 460

We write 115% of n as 1.15n, so we have:
1.15n = 460

Using our equation calculator, we get:
n = 400

The problem asks for 75% of this number, so we type in 75% of 400 into our search engine and get:
300