I go thought this quite regularly with 'found' photo paper.
The easiest way is with a step wedge and dichroic enlarger. Print a step wedge, projected or contact for these purposes, with only all yellow dialled in. Count the steps between all white and all black.
Then repeat with only all magenta dialled in. Count the steps as above. They should be quite differnt if it is MG paper. All papers loose contrast with age; don't be surprosed if it was once really a MG that you are down to a range of 00 to 3 as it ages.
Some fixed grade paper has some contrast variation wto magenta, but it is marginal.
If the paper is MG, then start to step though 170Y - 135Y, 105Y, 70Y 35Y 15Y 0 15M 35M 70M 135M 170M if your filters run to 170 or so. Looking at the steps, and the relative placement of the first non white can let you figure out what filtration is now neededd to print the achievable contrasts with the paper you have. I regularlly do this with a series of 2x2.25" chips cut from a piece of 8x10. I write on the back the filtration and then batch develop them all at once once the initial exposure is fugured out to get the scale of the step wedge to be centred up.
Without a step wedge, the same testing can be done with less presicions with a broad scale 'normal ' negative, and also with fixed tint MG filters, either of the above or below the lens variety.
If the paper is Oriental/Seagull MG it will adjust almost all the full range though only yellow filtration.
Agfa, Ilford and Kodak MG paer need yellow though magenta for their full range.
High magenta exposures usually need twice as much exposure than other filter settings to make up for the high filter factor the deep magenta imposes.