Muhammed ﷺ , The Man and Mission.

 Why Prophet Muhammad ﷺ solved all the world's problems?

‎بِسْمِ اللهِ الرَّحْمٰنِالرَّحِيْمِ • ‎
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السلام عليكم

Justice cannot be done by my words. There are numerous reasons why He ﷺ solved all the world's problems. In words of  Bediuzzaman
SAID NURSI, "We present the 
Arabian Peninsula as a challenge to those who refuse to see the testimony of the blessed 
age of the Prophet . Let them each take a hundred philosophers, go there, and strive for a 
hundred years; would they be able to carry out in that time one hundredth of what he 
achieved in a year?"
Prophet Muhammad established such a magnificent system and formed such an excellent community  that not even a Plato, a Aristotle, or any other utopian has been able to imagine it's equal.

He ﷺ was the real revolutionary ruled by revelation.

He was the best and perfect human being to ever walk on the face of this earth. I cannot give justice in explaining his methods to bring a change in the world. My words and actions cannot praise him the way he should be praised.

Allah sent him as mercy to mankind. And there should be the utmost perfection who came to guide the mankind from darkness to light. To simply put he solved problems of each and every aspect of human life because He ﷺ was sent by the Lord of the worlds, He ﷺ was guided and nurtured by Allah himself. Allah was his teacher, who is knower of everything and has absolute knowledge. With Allah being his teacher Messenger of Allah ﷺ  taught everyone how to deal with anything in this mortality of life which will not just make us successfull in the world but in the hereafter.
He ﷺ was sent to one of the most savage and illiterate nation on earth - the Arabian peninsula.
And what he achieved in just a small span of 23 years changed the course of human history.
The people who were fundamentally and morally bankrupt became army of blessed saints, illustrious educators, undefeatable commanders, eminent statesmen, and praiseworthy founders of the most magnificent civilization in history.
By following him and following his teachings UMAR رضي الله عنه established an empire which expanded exponentially. In his time the superpowers of that time were defeated. This was the time when Islamic civilization was at it's peak.
The question is what could make the most savage people on earth who used to bury their daughter,  engrossed in ignorance became the best leaders and conquerers?
The answer is that their teacher, educator, mentor, guide and companion was none other than the person who was mercy to all mankind and exalted in character- MUHAMMAD ﷺ

Let's take an example of today's scenario-
Each and every individual knows that cigarette is extremely harmful for health it causes deadly disease like cancer, and there has been countless seminars and warnings regarding smoking but we do not find any positive result.
Let's go back to 6th century Arabia. Within the span of 23 years of  Prophet's teaching and training he was successful in eradicating all the evils from Arabian peninsula. He abolished racial discrimination, thievery, slavery, alcoholism, tribalism, murder, adultery, fornication, rape, paganism, superstitions and what not. He had all the practical solutions for every human problem.  This transformation was not limited only to the people of his own time and place, for this process continues today wherever his message spreads. His universal call encompasses, in addition to the rules of good conduct and spirituality, all principles of economics, finance, administration, education, justice, and international law.

The status of women was raised from being buried alive to heaven lying beneath her feet.

Allah's Messenger was an exemplary leader, commander, statesman, military general, educator, teacher, father, brother, companion, husband, grandfather. In the entire mankind none can surpass these qualities. He was a practical person who would give help and suggestions according to the need of the person.

American astrophysicist Michael H. Hart says in his book The 100: A ranking of the Most influencial Person in History, 

"My choice of Muhammad to lead the list of the world's most influential persons may surprise some readers and may be questioned by others, but he was the only man in history who was supremely successful on both the religious and secular level."

LA Martine , the French poet and author writes in his book:

Philosopher, orator, apostle, legislator, warrior, conqueror of ideas, restorer of rational dogmas, the founder of twenty terrestrial empires and of one spiritual empire, that is Muhammad. As regards all standards by which human greatness may be measured, we may ask, is there any man greater than he?

If greatness of purpose, smallness of means, and outstanding results are the three criteria of human genius, who could dare to compare any great man in modern history with Muhammad? The most famous men created arms, and empires only. They founded, if any at all, no more than material power which often crumbled away before their eyes. This man merged not only armies, legislation, empires, peoples and dynasties but millions of men in one third of the inhabited world, and more than that, moved the altars, the gods, the religions, the ideas, the beliefs and the souls on the basis of a Book, every letter of which has become law. He created a spiritual nationality of every tongue and of every race. 

William Montgomery Watt, a Scottish historian writes:

"His readiness to undergo persecutions for his beliefs, the high moral character of the men who believed in him and looked up to him as leader, and the greatness of his ultimate achievement - all argue his fundamental integrity. To suppose Muhammad an impostor raises more problems than it solves. Moreover, none of the great figures of history is so poorly appreciated in the West as Muhammad."

He established his empire on the pillars of truth , justice and equality. The problems which still persists today were successfully solved by him 14 centuries ago.
He had all the solutions for social, political and economical problems.

I wonder if he would be alive today , and if he were to take the leadership of the world then the world would be infinite times better than it is now.

He was a real educator who established a system of education which transforms it's student from his/ her core and make them examples for the future generations to follow. 
We have countless such sincere students of Rasoolullah who conquered hearts and mind of people. This likes of Tariq bin Ziyad , Salahuddin Ayyubi, Sultan Mehmet, Imam Shamil are some of the examples.

I can go on writing and my heart is never going to be satisfied. 

In Rasoolullah ﷺ we have perfect example to follow. Only by following his ways humanity can achieve the best in this world and the hereafter.

As Allah says:
There has certainly been for you in the Messenger of Allah an excellent pattern for anyone whose hope is in Allah and the Last Day and [who] remembers Allah often. (33:21)

"Obey Allah and obey the Messenger;
And if you obey him, you will be [rightly] guided.
(24:54)

I hope I made my point. I know there are many things missing in the answer but the question was about the perfect human being for which my imperfect answer will never do justice with that.