Final answer:
To find the number of which 3.1 is 60%, set up the equation 0.60 * x = 3.1, then solve for x by dividing both sides by 0.60. The equation simplifies to x = 3.1 / 0.60, which you can solve to find the unknown number.
Step-by-step explanation:
To translate the question '3.1 is 60% of what number?' into an equation with x as the unknown number, you would set up an equation where 60% (or 0.60) multiplied by some number x equals 3.1. The equation looks like this: 0.60 * x = 3.1.
Step-by-step solution:
- Identify the known: 3.1 is known, and it represents 60% of the unknown number.
- Identify the unknown which we will represent with x.
- Express the answer as an equation: Start with the percentage in decimal form (60% as 0.60) and multiply it by x to represent '60% of what number.'
- Rearrange the equation to solve for x: divide both sides by 0.60 to isolate x on one side of the equation.
Following this process, you end up with the equation x = 3.1 / 0.60. When you divide 3.1 by 0.60, you get the value of x, which is the number that 3.1 is 60% of.