Final answer:
To find the total number of businesses in Indiana, we can solve the equation: 0.68 * x = 181,560. Dividing both sides of the equation by 0.68 gives us x ≈ 267,235. Therefore, the total number of businesses in Indiana is approximately 267,235.
Step-by-step explanation:
To find the total number of businesses in the state of Indiana, we can use the given information. We know that 68% of all businesses are open during the pandemic, which corresponds to 181,560 businesses. Let's represent the total number of businesses as x. We can set up an equation using the percentage:
68% of x = 181,560
To solve this equation, we can convert the percentage to decimal form by dividing by 100:
0.68 * x = 181,560
Next, we can solve for x by dividing both sides of the equation by 0.68:
x = 181,560 / 0.68
Calculating this gives us x ≈ 267,235. Therefore, the total number of businesses in the state of Indiana is approximately 267,235.