Does total precipitation have different meanings?

I'm new in hydrology sciences and for my work, I have to differentiate solid precipitation time series and liquid precipitation from total precipitation time series. My data are from a meteorological station and the figure below is to illustrate the followings.

Generally, we consider that 10 cm of snow = 1 cm of equivalent water. But, following a number of paramters, this ratio can be great or less. But let us suppose that the ratio snow/water = 100cm/1cm (which is probably wrong), despite this very disproportionate ratio, it is impossible to show that Total precipitation >= Solid precipitation (snow) at dates where it snowed.

My questions are : What total precipitation means here? Isn't it the sum of solid and liquid precipitation? Why equivalent water of snow is always superior to total precipitation? Does total precipitation already take into account the water equivalent of snow?

Here is the link to the site where I got the data (you can enter an Airport name to get some data to see what is going on, if necessary): https://meteostat.net/en/