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Math  /  Algebra

Question145%145 \% of a value is 5365 kg . What is the original value? Give your answer in kilograms (kg)(\mathrm{kg}).

Studdy Solution

STEP 1

1. We are given that 145%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%145\% of a value, it means 145%145\% times the original value equals 5365 kg.

STEP 4

Set up an equation to represent the problem.
Let the original value be x x .
145%×x=5365 145\% \times x = 5365
Convert 145%145\% to a decimal for calculation:
145%=145100=1.45 145\% = \frac{145}{100} = 1.45
Thus, the equation becomes:
1.45×x=5365 1.45 \times x = 5365

STEP 5

Solve the equation for the original value.
To find x x , divide both sides of the equation by 1.45 1.45 :
x=53651.45 x = \frac{5365}{1.45}
Calculate the division:
x≈3700 x \approx 3700
Therefore, the original value is:
3700 kg \boxed{3700} \, \text{kg}

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