Solving 'What number is 35% of 90?'
To translate and solve "What number is of ?", apply the percent-sentence-to-equation process:
- Assign a variable: Let = the unknown number.
- Translate keyword by keyword: "What number" becomes ; "is" becomes ; "" converts to the decimal ; "of" becomes multiplication; "" remains .
- Write the equation:
- Multiply:
Therefore, is of .
This type of percent equation — where the amount is unknown — produces a one-step multiplication problem because the variable is already isolated on one side of the equals sign. Converting to its decimal equivalent before multiplying is the essential prerequisite step.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.3 Math Models - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Intermediate Algebra @ OpenStax
Ch.2 Solving Linear Equations - Intermediate Algebra @ OpenStax
Related
Solving 'What number is 35% of 90?'
Solving '6.5% of what number is $1.17?'
Solving '144 is what percent of 96?'
Solving a Tip Calculation Using a Percent Equation
Finding the Total Recommended Daily Amount of Potassium
Finding the Percent of Calories from Fat
Procedure for Finding Percent Increase
Procedure for Finding Percent Decrease
Discount Applications in Percent Problems
Mark-up Applications in Percent Problems
A logistics coordinator is calculating a fuel surcharge for a shipping route. The coordinator uses the sentence: 'What number is 8% of $1,250?' Which equation represents the correct translation of this sentence into an algebraic equation?
A payroll specialist is translating a policy manual's instructions into mathematical equations to calculate employee benefits. Match each English word or phrase commonly found in these percent-based calculations with its correct algebraic representation.
When translating a professional sentence like 'The new hire's salary is 90% of the standard rate' into an algebraic equation, the word 'is' should be replaced with an equals sign (=).
Identifying Quantities in Payroll Percent Calculations
A human resources specialist is translating a company benefits policy: 'The employer's retirement contribution is 7% of the employee's gross monthly pay.' To represent this relationship in an algebraic equation, the word 'of' must be translated into the mathematical operation of ________.
A project manager is translating a budget requirement into a mathematical formula: 'The licensing fee is 15% of the total project cost.' Arrange the following steps in the correct order to translate this sentence into a basic algebraic equation.
Developing Professional Standards for Percent Equation Translation
Professional Standards for Translating Percent-Based Financial Sentences
A quality control inspector is translating the following professional sentence into an algebraic equation: 'The defect rate was 0.5% of the total production run.' According to the standard rules for translating percent sentences, what is the correct decimal form of 0.5% that must be written in the equation?
A warehouse supervisor is calculating total inventory levels based on a defect report. The supervisor uses the sentence: '3.5% of what number is 42?' Which of the following algebraic equations correctly translates this sentence?
Solving for the Percent of Calories from Fat in Muffins
Solving for the Percent of Calories from Fat in Brownies
Principal (Algebra)
Rate of Interest (Algebra)
Example: Solving for the Percent of Calories from Fat in Muffins
Calculating Percent Change
Solving 'What number is 45% of 84?'
Solving '8.5% of what amount is $4.76?'
Solving '168 is what percent of 112?'
Solving a Word Problem about the Recommended Daily Amount of Protein in Yogurt
Converting 62%, 135%, and 35.7% to Decimals
Solving 'What number is 35% of 90?'
An inventory manager is updating a spreadsheet and needs to convert a 15% discount rate into a decimal. Arrange the following steps in the correct order to complete this conversion using the standard procedural shortcut.
An analyst is converting a 15.5% growth rate into a decimal for a financial report. To follow the standard shortcut for this conversion, what is the required movement of the decimal point before dropping the percent sign?
A project manager is converting a 45% completion rate into a decimal for a performance dashboard. According to the standard procedural shortcut, the decimal point must be moved ____ places to the left before removing the percent sign.
An office assistant is converting a 75% project completion rate into a decimal for a spreadsheet. True or False: According to the standard procedural shortcut, if the percent value is a whole number like 75%, the decimal point is understood to be located at the far left of the digits (e.g., .75%).
An office administrator is updating a company's financial spreadsheet and needs to convert various discount rates from percentages to decimals. Match each part of the standard procedural shortcut with its correct description.
Procedural Steps for Percent-to-Decimal Conversion
Optimizing Data Migration Procedures
Training Memo: Percent-to-Decimal Conversion Shortcut
A quality control technician is documenting a 2.5% error rate in a production report. When using the standard procedural shortcut to convert this percentage to a decimal, the technician moves the decimal point two places to the left. This action is taken because converting a percent to a decimal is mathematically equivalent to which operation?
A quality supervisor is preparing a report on production efficiency and needs to convert several percentages—including 92%, 115%, and 0.8%—into decimal form. According to the standard procedural shortcut, which of these percentages can be converted by moving the decimal point two places to the left?
Converting to a Decimal
Learn After
A logistics coordinator needs to calculate a surcharge that is 35% of a 90 dollar shipping fee. Arrange the following steps in the correct order to solve the problem: 'What number is 35% of 90?'
A logistics coordinator is calculating a 35% fuel surcharge on a $90 shipping invoice. To find the surcharge amount, they translate the sentence 'What number is 35% of 90?' into a mathematical equation. Which of the following equations correctly represents this translation?
A logistics manager is reviewing a report that states 35% of the 90 scheduled deliveries were completed early. To calculate the exact number of early deliveries, the manager translates the statement 'What number is 35% of 90?' into a mathematical equation. Match each part of the sentence to its correct mathematical representation.
A logistics specialist is calculating a 35% fuel surcharge on a $90 delivery fee. True or False: When translating the phrase 'What number is 35% of 90?' into a mathematical equation, the word 'of' represents the operation of multiplication.
Decimal Conversion in Retail Discount Calculations
Procedure for Percent Translation
A payroll administrator is calculating a 35% tax withholding on a $90 performance bonus. To find the withholding amount, the administrator translates the question 'What number is 35% of 90?' into a mathematical equation. In this equation, the administrator represents the percentage 35% as the decimal value ____.
Calculating a Performance Commission
A medical billing specialist is calculating a 35% insurance co-payment for a $90 procedure fee. When translating the phrase 'What number is 35% of 90?' into a mathematical equation, which technical term describes the unknown value represented by the phrase 'What number'?
A logistics manager is translating the sentence 'What number is 35% of 90?' into the equation to calculate a surcharge. According to the lesson, why is this specific equation classified as a 'one-step' multiplication problem?