how to apply probability weights to get population estimates

am new to stack overflow and survey analysis in general, so apologies if this is a rather basic question.

i have a survey data of stratified randomly sampled firms, and information on the number of employees per firm, as well as probability weights assigned to each firm.

if i want to find out the estimated total number of employees for all firms in the population, should i just multiply the number of employees by the probability weights and add them all up?

e.g. if Firm A has 7 employees and has a probability weight of 1.32; Total number of employees in the population that work in firms similar to Firm A= 7x1.32. Am I on the right track or totally off?