Solving '6.5% of what number is $1.17?'
To translate and solve " of what number is $1.17?", apply the percent-sentence-to-equation process:
- Assign a variable: Let = the unknown number.
- Translate keyword by keyword: "" converts to the decimal ; "of" becomes multiplication; "what number" becomes ; "is" becomes ; "$1.17" becomes .
- Write the equation:
- Divide both sides by :
- Simplify:
Therefore, of $18 is $1.17.
In this type of percent equation, the base (the whole amount) is unknown, so the variable is not isolated after translation — it appears as part of the product . Dividing both sides by the decimal coefficient isolates and reveals the answer.
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