To find the original value when given that [tex]\(145\%\)[/tex] of a value is 5365 kg, we can follow these steps:
1. Understand the Relationship:
- We know that [tex]\(145\%\)[/tex] of some original value equals 5365 kg.
- [tex]\(145\%\)[/tex] can be written as a decimal: [tex]\(145\% = 1.45\)[/tex].
2. Set Up the Equation:
- Let [tex]\( x \)[/tex] be the original value.
- According to the problem, [tex]\(1.45 \times x = 5365\)[/tex].
3. Solve for [tex]\( x \)[/tex]:
- To find [tex]\( x \)[/tex], we need to isolate it by dividing both sides of the equation by [tex]\(1.45\)[/tex].
[tex]\[
x = \frac{5365}{1.45}
\][/tex]
4. Calculate the Division:
- When we divide 5365 by 1.45, we get:
[tex]\[
x = 3700
\][/tex]
Therefore, the original value is [tex]\(3700\)[/tex] kilograms [tex]\( ( kg )\)[/tex].
