To determine the original amount when 13.5% of it equals 837, follow these steps:
1. Identify the given values:
- The percentage given is 13.5%.
- The part (or portion) of the amount that corresponds to this percentage is 837.
2. Understand the relationship:
- We need to find the whole amount from which 837 is 13.5%.
3. Set up the equation:
- Let the original amount be [tex]\( X \)[/tex].
- According to the problem, [tex]\( 13.5\% \)[/tex] of [tex]\( X \)[/tex] is equal to 837.
- Mathematically, this relationship is represented as:
[tex]\[
0.135 \times X = 837
\][/tex]
Here, [tex]\( 0.135 \)[/tex] is the decimal form of [tex]\( 13.5\% \)[/tex].
4. Solve for [tex]\( X \)[/tex]:
- To isolate [tex]\( X \)[/tex], divide both sides of the equation by [tex]\( 0.135 \)[/tex]:
[tex]\[
X = \frac{837}{0.135}
\][/tex]
5. Calculate the value:
- Performing the division provides the value of [tex]\( X \)[/tex] as:
[tex]\[
X = 6200.0
\][/tex]
Therefore, the original amount is 6200.0.
