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If 60% of a number $$x$$ is 40, then what is $$x$$% of $$60$$?
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If 60% of a number $$x$$ is 40, then what is $$x$$% of $$60$$?
60% of $$x$$ is written as $$\frac{60}{100}\times x$$. We are told this equals $$40$$, so:
$$\frac{60}{100}\,x = 40$$
Solve for $$x$$ by multiplying both sides by $$\frac{100}{60}$$:
$$x = 40 \times \frac{100}{60} = \frac{4000}{60} = \frac{200}{3}$$
Now we need $$x\%$$ of $$60$$, that is $$\frac{x}{100}\times 60$$:
$$\frac{\frac{200}{3}}{100} \times 60 = \frac{200}{3} \times \frac{60}{100} = \frac{12000}{300} = 40$$
Hence, $$x\%$$ of $$60$$ is $$40$$.
Final Answer: 40
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