Percentages

TL;DR

Learn how to find the missing percent in a percentage problem by using equations and a mental shortcut.

Transcript

consider this problem 30 of 60 is 20 of what percent go ahead and take a minute to work on this example problem feel free to pause the video if you want to now how can we go about solving this problem well we need to know what some of these expressions mean whenever you see the word is if you're writing the math equation you need to replace it with... Read More

Key Insights

• 👈 The decimal equivalent of a percentage can be found by dividing it by 100 or moving the decimal point two units to the left.
• 🟰 In a percentage problem, the word "of" indicates multiplication, and "is" is replaced with the equal sign.
• 🎟️ To solve an equation with a missing percent, isolate the variable on one side of the equation using algebraic operations.

Questions & Answers

Q: How do you find the decimal equivalent of a percentage?

To find the decimal equivalent, divide the percentage by 100 or move the decimal point two units to the left. For example, 40% becomes 0.40 as a decimal.

Q: How do you solve a percentage problem with the missing percent?

Create an equation using decimals and replace "is" with the equal sign and "of" with multiplication. Solve for the missing percent by isolating the variable on one side of the equation.

Q: Is there a mental shortcut to solve percentage problems?

Replace the percentages with numbers that correspond to their percentage values (e.g., 30% becomes 3, 60% becomes 6). Then, solve the equation mentally by finding the missing number. For example, if 3 times 6 is 18, and 2 corresponds to 20%, then 9 corresponds to 90%.

Q: Can the mental shortcut be used for any percentage problem?

Yes, the mental shortcut can be used for any percentage problem where you need to find the missing percent. Simply replace the percentages with corresponding numbers and solve the equation mentally.

Summary & Key Takeaways

• To find the value of a specific percentage of a number, multiply the decimal equivalent of the percentage by the number.

• Replace the word "is" in the problem with the equal sign and the word "of" with multiplication.

• Use these techniques to solve the equation and find the missing percent.