"all-encompassing approach" is correct and usable in written English.
You can use it when referring to a wide-ranging strategy that takes into account a variety of considerations. For example, "It is important to adopt an all-encompassing approach to finding a solution to this problem, taking into account both economic and environmental factors."
"We strongly believe an all-encompassing approach is needed to tackle obesity.
It's 10 years since government policy on child protection shifted from traditional intervention measures to a more all-encompassing approach, promoting children's welfare as well as safeguarding.
Still, the Clinton administration, in which General McCaffrey was drug czar, thought it could mobilize Americans around a drug-focused strategy for managing the crisis, rather than an all-encompassing approach.
His all-encompassing approach to the variables that he can control has made Brady the master of his own destiny, making his desire to play into his mid-40s all the more realistic.
When the composer John Cage was beginning to conceive of a new, all-encompassing approach to music that was to become epitomised by his 1952 piece 4'33", he was probably unaware of Alphonse Allais's Funeral March for the Obsequies of a Deaf Man, a musical composition dating from 1897 and consisting of 24 blank bars.
He said: "If we make a statement about equal rights and equal opportunities, it is obvious that we must practise an all-encompassing approach, which include all minorities and not solely those that were mentioned by Human Rights Watch in their original pledge.
Minor league baseball isn't built for that same all-encompassing economic approach.
"Apart from an all-encompassing systemic approach to this topic, it is necessary, through education, to increase the sensitivity of professionals who work in schools, in order for them to be able to recognise gender-based content in teaching materials, but also in order for them to recognize their own prejudices.
But while sabbaticals at the Hoover Institution and job opportunities on Wall Street are nothing to sneeze at, the central cause of the profession's failure was the desire for an all-encompassing, intellectually elegant approach that also gave economists a chance to show off their mathematical prowess.
Chrono24, on the other hand, is more all-encompassing in their approach.
