?% of - 3 = - 21: Given two numbers, - 3 and - 21, calculate what is the missing percent value, calculated of - 3, that equals the other number, - 21

What missing percentage p% calculated of - 3 = - 21?

Detailed calculations and verification of the result

A brief introduction. Percent, p%

'Percent (%)' means 'out of one hundred':


p% = p 'out of one hundred',


p% is read p 'percent',


p% = p/100 = p ÷ 100.


100% = 100/100 = 100 ÷ 100 = 1.


Multiply a number by the fraction 100/100,
... and its value doesn't change.


What does it mean:
What missing percent value p calculated of - 3
is equal to the number - 21?

p% of - 3 = - 21

... is equivalent to multiplying them:

p% × - 3 = - 21


Percentage calculation

What missing percentage of the number - 3
is equal to the number - 21?

Let p be the missing percent value that we have to calculate.

p% × - 3 = - 21 =>


p% =


- 21 ÷ - 3 =


- 21 ÷ - 3 × 100/100 =


(- 21 ÷ - 3 × 100)/100 =


(- 21 × 100 ÷ - 3)/100 =


(- 2,100 ÷ - 3)/100 =


700/100 =


700%


700% of - 3 = - 21


The proof of the calculations

Calculate the second number:

We calculate the percentage of the first number below.

Will we get the second number, - 21?


We will prove below that the calculations are correct:

700% × - 3 =


(700 ÷ 100) × - 3 =


700 × - 3 ÷ 100 =


- 2,100 ÷ 100 =


- 21


The answer:

What missing percentage p% calculated of - 3 = - 21?

700% of - 3 = - 21

The symbols used: % percent, ÷ division, × multiplication, = the equal sign, / the fraction bar, ≈ approximately the same. Writing numbers: comma ',' - as a thousands separator, point '.' as a decimal mark.

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