The symbol % is like a unit of measurement that is worth 1/1001100
So 3.5%" "->" "3.5xx1/100 = 3.5/1003.5% → 3.5×1100=3.5100
The use of the word 'of' is interpreted as multiply
Like in 2 of apples =2xx=2× apples = apples + apples
So 3.5% of 5000 is the same as:
3.5/100xx5003.5100×500
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color(brown)("Explaining in detail a quick mental calculation method")Explaining in detail a quick mental calculation method
color(brown)("Doing it in the mind is much faster than writing it")Doing it in the mind is much faster than writing it
color(brown)("as you jump steps.")as you jump steps.
However, 500 is the same as 5xx1005×100 so we can write this as:
3.5xx1/100xx5xx1003.5×1100×5×100
3.5xx5xx1/100xx1003.5×5×1100×100
3.5xx5xx100/1003.5×5×100100
3.5xx5xx13.5×5×1
3.5xx53.5×5
3.5xx10/2" "=" "35/2=17.53.5×102 = 352=17.5