To determine the original value given that 135% of it equals 3645 kg, follow these steps:
1. Understand the percentage and the given value:
- 135% of the original value is given as 3645 kg.
2. Convert the given percentage to a decimal:
- A percentage is a fraction of 100. So, to express 135% as a decimal, divide 135 by 100.
- This conversion gives us [tex]\(135\% = 1.35\)[/tex].
3. Set up the equation based on the relationship:
- The relationship between the percentage of the original value and the given value can be expressed with the equation [tex]\(1.35 \times \text{Original Value} = 3645 \text{ kg}\)[/tex].
4. Solve for the original value:
- To find the original value, divide both sides of the equation by 1.35.
- Thus, [tex]\(\text{Original Value} = \frac{3645 \text{ kg}}{1.35}\)[/tex].
5. Calculate the original value:
- [tex]\(\frac{3645 \text{ kg}}{1.35} = 2700 \text{ kg}\)[/tex].
Therefore, the original value is [tex]\(2700 \text{ kg}\)[/tex].
