Convert year to century

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

Calculation Breakdown

Set up the equation

1.0 (y e a r) = x (c e n t u r y)

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) = 31556952.0 (s e c o n d) = 31556952.0 (s)

Right side: 1.0 (c e n t u r y) = 3.1536 \times 10^{9} (s e c o n d) = 3.1536 \times 10^{9} (s)

Insert known values into the conversion equation to determine

x

1.0 (y e a r) = x (c e n t u r y)

Insert known values =>

1.0 \times 31556952.0 \times (s e c o n d) = x \times 3.1536 \times 10^{9} \times (s e c o n d)

Or

1.0 \cdot 31556952.0 \cdot (s) = x \cdot 3.1536 \times 10^{9} \cdot (s)

Cancel SI units

1.0 \times 31556952.0 \cdot (s) = x \times 3.1536 \times 10^{9} \times (s)

Conversion Equation

31556952.0 = x \times 3.1536 \times 10^{9}

Switch sides

x \times 3.1536 \times 10^{9} = 31556952.0

Isolate

x

Multiply both sides by

(\frac{1.0}{3.1536 \times 10^{9}})

x \times 3.1536 \times 10^{9} \times \frac{1.0}{3.1536 \times 10^{9}} = 31556952.0 \times \frac{1.0}{3.1536 \times 10^{9}}

Cancel

x \times 3.1536 \times 10^{9} \times \frac{1.0}{3.1536 \times 10^{9}} = 31556952.0 \times \frac{1.0}{3.1536 \times 10^{9}}

Simplify

x = \frac{31556952.0}{3.1536 \times 10^{9}}

Rewrite equation

\frac{1.0}{10^{9}} can be rewritten to 10^{- 9}

Rewrite

x = \frac{10^{- 9} \times 31556952.0}{3.1536}

Solve

x

x \approx 0.0100066438 \approx 1.0007 \times 10^{- 2}

Conversion Equation

1.0 (y e a r) \approx 1.0007 \times 10^{- 2} (c e n t u r y)

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