Sorry my mistake. i had typed up the wrong question mr.bobpursley. What I meant to say was 66 2/3% of ____ = 74. I still can't understand how to figure this out?

It is done exactly as I stated. I changed 66 2/3 percent to a fraction 2/3.

To solve the equation 66 2/3% of ____ = 74, you can follow these steps:

Step 1: Convert the percentage to a fraction.
Since 66 2/3% can be written as 66 2/3 / 100, you can simplify this fraction by multiplying the numerator (66 2/3) by 1 (to convert it to a fraction) and keeping the denominator (100) the same. This simplifies to 66 2/3 / 100 = 200/3 / 100.

Step 2: Find the value that corresponds to the fraction.
To find the value that corresponds to the fraction 200/3, you can set up the equation:
200/3 * x = 74.

Step 3: Solve for x.
Multiply both sides of the equation by the reciprocal of 200/3, which is 3/200. This gives:
x = 74 * (3/200).

Step 4: Calculate the value of x.
Multiply 74 by 3/200 to get the value of x:
x = (74 * 3) / 200 = 222 / 200 = 1.11.

Therefore, the value that makes 66 2/3% of that number equal to 74 is approximately 1.11.