To solve the problem of finding the unknown quantity for which 125% equals 500, we can use the basic proportion formula. I will guide you step-by-step on how to do this.
### Step-by-Step Solution
1. Understand the Problem Statement: We are given that 125% of an unknown quantity [tex]\(B\)[/tex] is equal to 500. Mathematically, this can be written as:
[tex]\[
125\% \text{ of } B = 500
\][/tex]
2. Convert the Percentage to a Decimal: Percentages can be converted to decimals by dividing by 100. So, [tex]\(125\%\)[/tex] can be written as:
[tex]\[
125\% = \frac{125}{100} = 1.25
\][/tex]
3. Set Up the Equation: Using the above conversion, we set up the equation as follows:
[tex]\[
1.25 \times B = 500
\][/tex]
4. Solve for [tex]\(B\)[/tex]: To isolate [tex]\(B\)[/tex], we need to divide both sides of the equation by 1.25. This will give us:
[tex]\[
B = \frac{500}{1.25}
\][/tex]
5. Calculate [tex]\( \frac{500}{1.25} \)[/tex]:
[tex]\[
B = 400.0
\][/tex]
6. Round to the Nearest Hundredth: The value [tex]\(400.0\)[/tex] is already at its nearest hundredth and does not require further rounding.
### Final Answer
The unknown quantity [tex]\(B\)[/tex], for which 125% is 500, is:
[tex]\[
B = 400.0
\][/tex]
So, [tex]\(125\%\)[/tex] of [tex]\(400.0\)[/tex] is indeed [tex]\(500\)[/tex].
