To solve for the base value where 10,800 is 90% of that base value, follow these steps:
1. Understand the Problem Statement: We know that 10,800 represents 90% of some unknown base value. We need to find this base value.
2. Set Up the Equation: Let the unknown base value be [tex]\( x \)[/tex]. Mathematically, this can be represented by:
[tex]\[
0.90 \times x = 10800
\][/tex]
3. Isolate the Variable: To find [tex]\( x \)[/tex], we need to isolate it on one side of the equation. This can be done by dividing both sides of the equation by 0.90:
[tex]\[
x = \frac{10800}{0.90}
\][/tex]
4. Perform the Division: Divide 10,800 by 0.90 to obtain the value of [tex]\( x \)[/tex]:
[tex]\[
x = 12000.0
\][/tex]
5. Conclusion: Therefore, the base value is 12,000.
So, 10,800 is 90% of 12,000.0.