If 2/5 of a number is 60, what is 60% of the same number?*

Let's find the number first. We know that \(\frac{2}{5}\) of a number is 60. Let's denote the number as \(x\).

\[
\frac{2}{5}x = 60
\]

To find \(x\), we need to solve for \(x\):

\[
x = 60 \times \frac{5}{2} = 60 \times 2.5 = 150
\]

Now, we need to find 60% of \(x\).

\[
60\% \text{ of } 150 = 0.6 \times 150 = 90
\]

So, 60% of the number is 90.

Would you like any further details or explanations on these steps?

Here are some related questions for practice:

1. If \(\frac{3}{4}\) of a number is 75, what is 80% of the same number?
2. If \(\frac{5}{8}\) of a number is 100, what is 50% of the same number?
3. If 40% of a number is 32, what is \(\frac{1}{5}\) of the same number?
4. If \(\frac{7}{10}\) of a number is 84, what is 90% of the same number?
5. If \(\frac{4}{9}\) of a number is 64, what is 70% of the same number?
6. If 35% of a number is 49, what is \(\frac{2}{3}\) of the same number?
7. If \(\frac{2}{7}\) of a number is 28, what is 80% of the same number?
8. If \(\frac{3}{5}\) of a number is 45, what is 75% of the same number?

**Tip:** To convert a percentage to a decimal, divide by 100. For example, 60% becomes 0.60.

Learn how to solve the problem of finding 60% of a number when given that 2/5 of the number is 60. Follow a step-by-step solution including converting fractions to decimals and calculating percentages. Practice similar problems with detailed explanations.

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