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sixth grade ) v.a Find the total given a part and a percent out 18 is \( 90 \% \) of what number? Submit

Ask by Byrd Alexander. in the United States
Jan 24,2025

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Answer

18 is 90% of 20.

Solution

To find the total number when you're given a part and a percent, you can use the following steps: **Problem:** 18 is \(90\%\) of what number? **Step 1: Understand the Problem** You know that 18 is \(90\%\) of some number. Let's call that number \(x\). **Step 2: Write the Equation** The phrase "18 is \(90\%\) of \(x\)" can be written as: \[ 18 = 90\% \times x \] **Step 3: Convert the Percentage to a Decimal** Percentages can be converted to decimals by dividing by 100. \[ 90\% = \frac{90}{100} = 0.9 \] **Step 4: Substitute and Solve for \(x\)** Now, plug the decimal back into the equation: \[ 18 = 0.9 \times x \] To find \(x\), divide both sides of the equation by 0.9: \[ x = \frac{18}{0.9} \] **Step 5: Calculate the Result** \[ x = 20 \] **Answer:** 18 is \(90\%\) of **20**.

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The Deep Dive

To find the total number when you know a part and its percent, you can use the formula: Total = Part / (Percent/100). In this case, your part is 18 and the percent is 90%. So it would look like this: Total = 18 / (90/100) = 18 / 0.9 = 20. Therefore, 18 is 90% of 20. This method helps not only in math class but also in real-life budgeting or even cooking when you need to scale recipes. For example, if you're shopping and find that a particular item is on sale for a certain percentage, this calculation can help you quickly figure out the original price!

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