Solving '144 is what percent of 96?'
To translate and solve " is what percent of ?", apply the percent-sentence-to-equation process:
- Assign a variable: Let = the unknown percent (which will initially be found in decimal form).
- Translate keyword by keyword: "" stays as ; "is" becomes ; "what percent" becomes ; "of" becomes multiplication; "" stays as .
- Write the equation: , i.e., .
- Divide both sides by :
- Simplify:
- Convert to percent form:
Therefore, is of .
Because the question asks for "what percent," the final answer must be expressed in percent form, not as a decimal. The decimal is converted to by moving the decimal point two places to the right and attaching the percent sign. Notice that a percent can exceed whenever the amount is greater than the base.
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