?% of 15 = 12.3: Given two numbers, 15 and 12.3, calculate what is the missing percent value, calculated of 15, that equals the other number, 12.3

What missing percentage p% calculated of 15 = 12.3?

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 15
is equal to the number 12.3?

p% of 15 = 12.3

... is equivalent to multiplying them:

p% × 15 = 12.3


Percentage calculation

What missing percentage of the number 15
is equal to the number 12.3?

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

p% × 15 = 12.3 =>


p% =


12.3 ÷ 15 =


12.3 ÷ 15 × 100/100 =


(12.3 ÷ 15 × 100)/100 =


(12.3 × 100 ÷ 15)/100 =


(1,230 ÷ 15)/100 =


82/100 =


82%


82% of 15 = 12.3


The proof of the calculations

Calculate the second number:

We calculate the percentage of the first number below.

Will we get the second number, 12.3?


We will prove below that the calculations are correct:

82% × 15 =


(82 ÷ 100) × 15 =


82 × 15 ÷ 100 =


1,230 ÷ 100 =


12.3


The answer:

What missing percentage p% calculated of 15 = 12.3?

82% of 15 = 12.3

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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