We offer multiple ways to find the suggested weight for a variable:
1) Select a single variable in the Microdata Access Tool. View the suggested weight for that variable in the URL, for example, wt=PWGTP for PUMS person weight. You may also click the Tables tab and see the weight in the left panel.
2) Explore microdata technical documentation on census.gov for the survey/program you are using.
3) Explore metadata for the variable in the application programming interface.