That would depend on the specific problem. The "rule of three" (i.e., solving proportions) can help for many standard problems; i.e., you consider a proportion, where the percentage has a denominator of 100. Here are some examples:1) What's 17% of 2000?
The proportion to solve is: 17/100 = x/2000
2) 500 is what percentage of 2000?
The proportion to solve is: x/100 = 500/2000
3) 500 is 10% of what number?
The proportion to solve is: 500/x = 10/100
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You could consider percentages as fractions of 100 and then solve the problems as if they were in the from of rational fractions.
For example, 37% = 37/100
In the same way that you would solve equations because equivalent expressions are in effect equations
In problems of motion, especially involving constant acceleration, a quadratic equation will from the formulas of motion to solve for time, usually. This is just one example.
To solve problems quickly you must have simple but effective method.
Diligent study for a number of years has given me the tools I need to solve most math problems I encounter.
ill-structured problems