Pregunta
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
Solución de tutoría real
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18 is 90% of 20.
Solución
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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