Convert kilogram to ounce

Learn how to convert 1 kilogram to ounce step by step.

Calculation Breakdown

Set up the equation

1.0 (k i l o g r a m) = x (o u n c e)

Define the base values of the selected units in relation to the SI unit

(k i l o g r a m)

Left side: 1.0 (g r a m) = 10^{- 3} (k i l o g r a m) = 10^{- 3} (k g)

Right side: 1.0 (o u n c e) = 0.0311034768 (k i l o g r a m) = 0.0311034768 (k g)

Define the values of the selected prefixes

Left side: k i l o = k = 10^{3}

Insert known values into the conversion equation to determine

x

1.0 (k i l o g r a m) = x (o u n c e)

Insert known values =>

1.0 \times 10^{3} \times 10^{- 3} \times (k i l o g r a m) = x \times 0.0311034768 \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \times 10^{- 3} \cdot (k g) = x \cdot 0.0311034768 \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \times 10^{- 3} \cdot (k g) = x \times 0.0311034768 \times (k g)

Conversion Equation

10^{3} \times 10^{- 3} = x \times 0.0311034768

Simplify

1.0 = x \times 0.0311034768

Switch sides

x \times 0.0311034768 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{0.0311034768})

x \times 0.0311034768 \times \frac{1.0}{0.0311034768} = 1.0 \times \frac{1.0}{0.0311034768}

Cancel

x \times 0.0311034768 \times \frac{1.0}{0.0311034768} = 1.0 \times \frac{1.0}{0.0311034768}

Simplify

x = \frac{1.0}{0.0311034768}

Solve

x

x \approx 32.150746569 \approx 32.1507

Conversion Equation

1.0 (k i l o g r a m) \approx 32.1507 (o u n c e)

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