770 is 70% of what number?
Answer (2)
Represent the problem as an equation: 0.70 × x = 770 .
Divide both sides by 0.70 to isolate x: x = 0.70 770 .
Calculate the value of x: x = 1100 .
State the final answer: 1100 .
Explanation
Understanding the Problem We are given that 770 is 70% of a certain number, and we need to find that number. Let's call the unknown number 'x'.
Setting up the Equation We can express the given information as an equation: 0.70 × x = 770 . This equation states that 70% (or 0.70) of the number 'x' is equal to 770.
Isolating the Variable To solve for 'x', we need to isolate 'x' on one side of the equation. We can do this by dividing both sides of the equation by 0.70: x = 0.70 770
Calculating the Value Now, we perform the division: x = 0.70 770 = 1100 So, the unknown number 'x' is 1100.
Final Answer Therefore, 770 is 70% of 1100. The number we were looking for is 1100 .
Examples
Understanding percentages is crucial in everyday life. For instance, when shopping, you often encounter discounts expressed as percentages. If an item originally costs $100 and is 20% off, you can calculate the discount amount by finding 20% of $100, which is $20. Therefore, the sale price is $100 - $20 = $80. This simple calculation helps you determine the actual cost savings and make informed purchasing decisions.
770 is 70% of 1100. To find this, we set up the equation 0.70 times x equals 770 and solved for x, which gave us 1100. Thus, the final answer is 1100.
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