step by step solution. What amount is 83 1/3% larger than P18.20?

To solve for the amount that is 83 1/3% larger than P18.20, we can follow these steps:

### Step 1: Convert the percentage to a decimal
First, express 83 1/3% as a decimal:
\[
83 \frac{1}{3}\% = \frac{83 \times 3 + 1}{3} = \frac{250}{3} \%
\]
Convert it into a decimal:
\[
\frac{250}{3} \% = \frac{250}{3 \times 100} = \frac{250}{300} = 0.8333\overline{3}
\]

### Step 2: Find 83 1/3% of P18.20
Now, calculate 83 1/3% of P18.20:
\[
0.8333\overline{3} \times 18.20 = 15.1666\overline{6}
\]

### Step 3: Add this amount to the original P18.20
Next, add this amount to the original value to get the total amount that is 83 1/3% larger than P18.20:
\[
18.20 + 15.1666\overline{6} = 33.3666\overline{6}
\]

### Step 4: Round the result
Rounding the result to two decimal places:
\[
33.37
\]

So, the amount that is 83 1/3% larger than P18.20 is **P33.37**.

Would you like any further details or explanations?

Here are 5 related questions to expand on this:

1. How do you calculate percentages greater than 100%?
2. What is 50% larger than P25.50?
3. How do you convert fractions to percentages?
4. What is the difference between percent increase and percent decrease?
5. Can you find what 150% of P30 is?

**Tip**: When converting a fraction like \( \frac{1}{3} \) to a decimal, remember that it repeats, so rounding may be necessary depending on the required precision.

What amount is 83 1/3% larger than P18.20?

Learn how to calculate the amount that is 83 1/3% larger than P18.20 with this step-by-step solution. This guide covers fraction-to-decimal conversion and basic percentage increase calculations, making it ideal for students in Grades 5-7.

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