While both linoleum and vinyl are relatively easy to install as compared to other flooring types vinyl does have a bit of an edge because it offers several installation options.
Linoleum over vinyl flooring.
Most linoleum is in sheet form which requires full spread adhesive.
Spread vinyl tile adhesive over the old linoleum with a trowel and press the tiles into place in the pattern and layout you determined earlier.
Linoleum or vinyl flooring.
Applied with a straightedge trowel the embosser will create a smooth surface to support the new floor.
Sheet vinyl can be laid over old linoleum or vinyl flooring if the existing floor is in good condition.
Work backwards out of the room to let the tiles dry.
If any parts of the vinyl or linoleum flooring have begun to bulge up slice out the bulge with as utility knife.
Over the top ceramic and stone tile vinyl and laminate flooring tile and sheet linoleum hardwood planks and decorative concrete can all be installed over existing linoleum.
Clean and repair the floor.
If the old floor has a rough texture or some indentations use a coat of embossing leveler.
Clean the vinyl floor thoroughly with tsp to remove dirt soap and oil residue.