Convert kilogram to quintal

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

Calculation Breakdown

Set up the equation

1.0 (k i l o g r a m) = x (q u i n t a l)

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 (q u i n t a l) = 45.36 (k i l o g r a m) = 45.36 (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 (q u i n t a l)

Insert known values =>

1.0 \times 10^{3} \times 10^{- 3} \times (k i l o g r a m) = x \times 45.36 \times (k i l o g r a m)

Or

1.0 \cdot 10^{3} \times 10^{- 3} \cdot (k g) = x \cdot 45.36 \cdot (k g)

Cancel SI units

1.0 \times 10^{3} \times 10^{- 3} \cdot (k g) = x \times 45.36 \times (k g)

Conversion Equation

10^{3} \times 10^{- 3} = x \times 45.36

Simplify

1.0 = x \times 45.36

Switch sides

x \times 45.36 = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{45.36})

x \times 45.36 \times \frac{1.0}{45.36} = 1.0 \times \frac{1.0}{45.36}

Cancel

x \times 45.36 \times \frac{1.0}{45.36} = 1.0 \times \frac{1.0}{45.36}

Simplify

x = \frac{1.0}{45.36}

Solve

x

x \approx 0.0220458554 \approx 2.2046 \times 10^{- 2}

Conversion Equation

1.0 (k i l o g r a m) \approx 2.2046 \times 10^{- 2} (q u i n t a l)

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