Convert year to lustrum

Learn how to convert 1 year to lustrum step by step.

Calculation Breakdown

Set up the equation

1.0 (y e a r) = x (l u s t r u m)

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

(s e c o n d)

Left side: 1.0 (y e a r) = 3.1536 \times 10^{7} (s e c o n d) = 3.1536 \times 10^{7} (s)

Right side: 1.0 (l u s t r u m) = 1.5768 \times 10^{8} (s e c o n d) = 1.5768 \times 10^{8} (s)

Insert known values into the conversion equation to determine

x

1.0 (y e a r) = x (l u s t r u m)

Insert known values =>

1.0 \times 3.1536 \times 10^{7} \times (s e c o n d) = x \times 1.5768 \times 10^{8} \times (s e c o n d)

Or

1.0 \cdot 3.1536 \times 10^{7} \cdot (s) = x \cdot 1.5768 \times 10^{8} \cdot (s)

Cancel SI units

1.0 \times 3.1536 \times 10^{7} \cdot (s) = x \times 1.5768 \times 10^{8} \times (s)

Conversion Equation

3.1536 \times 10^{7} = x \times 1.5768 \times 10^{8}

Cancel factors on both sides

Cancel factors

3.1536 \times 10^{7} = x \times 1.5768 \times {10^{8}}^{10}

Simplify

3.1536 = x \times 1.5768 \times 10.0

Switch sides

x \times 1.5768 \times 10.0 = 3.1536

Isolate

x

Multiply both sides by

(\frac{1.0}{1.5768 \times 10.0})

x \times 1.5768 \times 10.0 \times \frac{1.0}{1.5768 \times 10.0} = 3.1536 \times \frac{1.0}{1.5768 \times 10.0}

Cancel

x \times 1.5768 \times 10.0 \times \frac{1.0}{1.5768 \times 10.0} = 3.1536 \times \frac{1.0}{1.5768 \times 10.0}

Simplify

x = \frac{3.1536}{1.5768 \times 10.0}

Solve

x

x = 2 \times 10^{- 1}

Conversion Equation

1.0 (y e a r) = 2 \times 10^{- 1} (l u s t r u m)

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