Benjamin Jowett? Father Strickland? William T. Arnold? Harry Truman? Ronald Reagan? Charles Edward Montague? Edward Everett Hale?
Dear Quote Investigator: There is a quotation I love that presents an insightful guideline for the most effective way to achieve a goal by accenting humility:
The way to get things done is not to mind who gets the credit for doing them.
When I tried to find out who was responsible for this quotation I became confused because there are so many different versions of what I consider to be the same basic idea. Could you look into this expression or family of expressions and figure out who first verbalized the thought?
Quote Investigator: This is a complicated question, and QI will attempt to tackle it for you. This concept of positive action coupled with a generous spirit has a multiplicity of formulations, and it has inspired a large number of people. Here are five versions:
 A man may do an immense deal of good, if he does not care who gets the credit for it.
 This was the opportunity for a man who likes to do a good thing in accordance with the noble maxim … “Never mind who gets the credit.”
 The way to get things done is not to mind who gets the credit of doing them.
 There is no limit to what a man can do who does not care who gains the credit for it.
 There is no limit to what a man can do or where he can go if he doesn’t mind who gets the credit.
These sayings are certainly not identical, but they are closely interlinked thematically. Quotation number  appeared in a diary entry from the year 1863 in which the words were recorded as spoken by a Jesuit Priest named Father Strickland. This is the earliest citation located by QI.
In 1896 the text of  was published, and the phrase “Never mind who gets the credit” was dubbed the noble maxim of Edward Everett Hale.
In 1905 quotation  was published, and the words were attributed to Benjamin Jowett who was a theologian and classical scholar at Oxford University. But one of the author’s who made this attribution decided it was flawed, and in a later book he reassigned credit for the saying from Jowett to a “Jesuit Father”. This is probably a reference to Father Strickland. This maxim is a very close match to the quote given by the questioner above.
Expression  was used by Charles Edward Montague in 1906, but he did not claim coinage of the phrase. He said it was the favorite saying of his friend and colleague the journalist William T. Arnold. But Montague did not credit Arnold as originator either. He left the attribution anonymous by using the locution “someone has said”.
In 1922 Montague published a close variant of saying , “There is no limit to what a man can do so long as he does not care a straw who gets the credit”, in his book “Disenchantment”. For this reason he is sometimes cited in modern texts and databases.
Finally, quotation  appeared in the 1980s on a small plaque atop the desk in the Oval Office of the White House during the Presidency of Ronald Reagan. Here are selected citations in chronological order.