?% of 100 = 0.2: Given two numbers, 100 and 0.2, calculate what is the missing percent value, calculated of 100, that equals the other number, 0.2

What missing percentage p% calculated of 100 = 0.2?

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 100
is equal to the number 0.2?

p% of 100 = 0.2

... is equivalent to multiplying them:

p% × 100 = 0.2


Percentage calculation

What missing percentage of the number 100
is equal to the number 0.2?

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

p% × 100 = 0.2 =>


p% =


0.2 ÷ 100 =


0.2/100 =


0.2%


0.2% of 100 = 0.2


The proof of the calculations

Calculate the second number:

We calculate the percentage of the first number below.

Will we get the second number, 0.2?


We will prove below that the calculations are correct:

0.2% × 100 =


(0.2 ÷ 100) × 100 =


0.2 × 100 ÷ 100 =


0.2 × 1 =


0.2


The answer:

What missing percentage p% calculated of 100 = 0.2?

0.2% of 100 = 0.2

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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