To find out what number 192 is 96% of, we need to set up the problem as follows:
1. Understanding the Problem: We need to identify the number [tex]\( X \)[/tex] such that 96% of [tex]\( X \)[/tex] equals 192.
2. Setting Up the Equation: The relationship in our problem can be written as:
[tex]\[
0.96 \times X = 192
\][/tex]
where [tex]\( 0.96 \)[/tex] is the decimal form of 96%.
3. Solving for [tex]\( X \)[/tex]: To isolate [tex]\( X \)[/tex], we divide both sides of the equation by 0.96:
[tex]\[
X = \frac{192}{0.96}
\][/tex]
4. Calculating the Result: When you divide 192 by 0.96, you get:
[tex]\[
X = 200
\][/tex]
Therefore, 192 is 96% of 200.
