To solve the question "60 is [tex]\(40\%\)[/tex] of what number?" follow these steps:
1. Understand the problem: We know that 60 represents [tex]\(40\%\)[/tex] of some unknown number [tex]\(x\)[/tex]. We need to find what that number [tex]\(x\)[/tex] is.
2. Set up the equation: The problem states that 60 is [tex]\(40\%\)[/tex] of [tex]\(x\)[/tex]. We can write this relationship as an equation:
[tex]\[
60 = 0.40 \times x
\][/tex]
3. Solve for [tex]\(x\)[/tex]: To isolate [tex]\(x\)[/tex], we divide both sides of the equation by [tex]\(0.40\)[/tex], the decimal equivalent of [tex]\(40\%\)[/tex]:
[tex]\[
x = \frac{60}{0.40}
\][/tex]
4. Perform the division: Calculate the division to find the value of [tex]\(x\)[/tex]:
[tex]\[
x = 150.0
\][/tex]
Thus, the number [tex]\(x\)[/tex] for which 60 is [tex]\(40\%\)[/tex] of it is [tex]\(\boxed{150}\)[/tex].
