The phrase "a backdrop against which" is correct and usable in written English.
It can be used to describe a context or setting that provides a contrast or framework for something else being discussed or analyzed.
Example: "The historical events served as a backdrop against which the novel's themes of resilience and hope were explored."
Alternatives: "a context in which" or "a setting for".
In some of his music, shifting loop sequences form a backdrop against which melodies unfold.
Is this really a backdrop against which we can rebuild trust between managers and workers within our largest public companies?
It's not the most interesting of roles; more a backdrop against which Sherlock Holmes's brilliant eccentricities can sparkle.
These words are like traumas, a backdrop against which the repressed frustration of losing privilege plays out.
Eisenstein's Potemkin uses the story of naval mutiny as a backdrop against which to play out the class struggle of revolutionary politics.
"I found that I didn't want the year to just be a backdrop against which we told a crime story, I wanted to find a way to make the period into a crime story".
This, in all its strangeness and extremity, was Ireland in the wake of its financial collapse, as recalled by Roddy Doyle, and for the novelist it became a plangent backdrop against which to set a story.
"A final regulatory outcome will provide a clearer backdrop against which we can judge how much we continue to invest in our business and in the broader promotion of economic growth, versus how much we retain in higher levels of capital, or distribute to shareholders by way of a dividend.
THE rusting, mechanical skeletons of a disused coalmine might seem an eccentric backdrop against which to evoke a country's future.
But, in a more prosaic way, the sharing of food provides such a useful backdrop against which things can happen.
And it forms a dubious backdrop against which Mr. Obama — who wallpapered his campaign with calls for a "new politics" — will deliver his own call for comity, cooperation and "coming together" next week.
