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how can we convert one system of units to another?

Since a physical quantity is expressed in terms of appropriate units of the same nature in all systems, the dimensions should remain the same eventhough the number indicating its magnitude may differ. If a physical quantity of dimensions a, b and c in mass, length and time respectively has magnitude n1 and n2 in two systems having fundamental units M₁,L₁,T₁ and M₂,L₂,T₂, respectively then,

For example :

Convert one newton into dyes

They are the units of force in SI and CGS respectively. Dimensional force of force is MLT^-2. Let n₁ newton be equal to n₂ dynes.