60 is 40 percent of what number
The Correct Answer and Explanation is:
To solve this problem, we need to find out what number, when multiplied by 40 percent, equals 60.
Step 1: Understand the Problem
We are given that 60 is 40 percent of some number. We can write this as:60=40%×x60 = 40\% \times x60=40%×x
Where xxx is the unknown number we need to find.
Step 2: Express 40 Percent as a Decimal
To work with percentages, it’s easier to convert them to decimals. The percentage 40% can be written as:40%=40100=0.4040\% = \frac{40}{100} = 0.4040%=10040=0.40
Step 3: Substitute and Solve for xxx
Now that we know that 40% is equivalent to 0.40, we substitute this value into the equation:60=0.40×x60 = 0.40 \times x60=0.40×x
To solve for xxx, we need to isolate xxx on one side of the equation. To do this, we divide both sides of the equation by 0.40:x=600.40x = \frac{60}{0.40}x=0.4060
Step 4: Perform the Division
Now, divide 60 by 0.40:x=150x = 150x=150
Final Answer:
The number we are looking for is 150.
Explanation:
This solution follows the basic principles of algebra. First, we turned the percentage into a decimal, then set up an equation to represent the relationship between the number and 40 percent of it. By isolating the variable xxx and solving for it, we found that the number is 150. This means that 40 percent of 150 is 60, which verifies that our calculation is correct.
