SOLUTION: Hello, Not sure how to find the solution to this: The number 297 is 24 3/4% of which number? The answer is 1,200. I just have no idea how it was solved! Can someone please

Question 893352: Hello,
Not sure how to find the solution to this: The number 297 is 24 3/4% of which number? The answer is 1,200. I just have no idea how it was solved! Can someone please tell me how to solve a problem like this step by step?
Thanks
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
, the percent used as a fraction for part per onehundred.
and you could try to reduce or simplify the fraction.

Some confusion still reported.
Turn the description around some: percent of the number q is 297. What is q?
, translation into an equation, using meaning of PERCENT. This is an equation.
We can begin simplifying the equation using the RECIPROCAL of the .
A number multiplied by its reciprocal is 1; and 1 multiplied by a number is still the number being multiplied.

, still an equality because multiplied BOTH sides by same number.

, factors in a product can be moved to other positions.

, fraction multiplied by its reciprocal equals 1.

, same thing; multiplication by 1.
This is where you became stuck.
Simplify that complex fraction factor.
Note the denominator within the denominator, is 4. AGAIN perform a multiplication by 1 on the
right side, in the form of . This will not change the meaning. It will only allow
simplification of the fraction.

, which might still not be the best form for you, since you maybe are not
yet familiar with the distributive property; but I continue this way...

What comes next is just simplification; looking for factors common to both numerator and denominator
and eliminating those which form factors of 1. Use you standard elementary divisibility rules.
You will find that 297 is a product of 9. 99 is also a product of 9.

ALMOST Complete Prime Factorization of the expression for q:

(I did this WITHOUT a calculator except for factorizing the 297).
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