Math Snap

STEP 1

1. We are given that $145\%$ of a value is 5365 kg.
2. We need to find the original value in kilograms.

STEP 2

1. Understand the relationship between percentage and the original value.
2. Set up an equation to represent the problem.
3. Solve the equation for the original value.

STEP 3

Understand the relationship between percentage and the original value.
When we say $145\%$ of a value, it means $145\%$ times the original value equals 5365 kg.

STEP 4

Set up an equation to represent the problem.
Let the original value be $x$.
$$145\% \times x = 5365$$ Convert $145\%$ to a decimal for calculation:
$$145\% = \frac{145}{100} = 1.45$$ Thus, the equation becomes:
$$1.45 \times x = 5365$$

Solve the equation for the original value.
To find $x$, divide both sides of the equation by $1.45$:
$$x = \frac{5365}{1.45}$$ Calculate the division:
$$x \approx 3700$$ Therefore, the original value is:
$\boxed{3700} \, \text{kg}$