20 is 25 of what number

Candal S.

asked • 03/11/17

this question is really hard I need help. Pleas help

3 Answers By Expert Tutors

Gene G. answered • 03/12/17

Retired Electrical Engineer - Setting Your Foundation for Math

Here's a slightly different way to look at it:

"Cent" means 100.

(100 cents in a dollar.  100 years in a century.)

"Per" means "divided by".

So "percent" means "divided by 100",

As Andrew said: "of" means multiply.

"is" means "is equal to", or just "equals".  That's an equals sign!

25 is 20% of what number?

25 equals 20 divided by 100 times what number (X)?

25 is 20% of what number?

25 = 20/100 • X

Simplify the fraction (makes the arithmetic easier) or convert it to a decimal like Robert did.

25 = 1/5 • X

Multiply both sides by 5.

125 = X

Andrew M. answered • 03/11/17

Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Percent means parts out of 100.

20% = 20/100 = 1/5

25 is 20% OF what number....

Note that OF means multiply in these problems.

25 = (1/5)x

25(5) = x

125 = x

I assume you  mean 25 is 20% of what number?

Ans. 25/.2 = 125

.2 * 125 = 25

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  • p% of A = ?
  • p% of ? = A
  • ?% of A = B
  • fractions a/b = ?%
  • relative change
  • p% = ? number
  • (1 + p%) × n
  • (1 - p%) × n

25% of what missing number = 20?

Detailed calculations and the verification of the result

A brief introduction. Percent, p%

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

25% = 25 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100

25% = 25/100 = 25 ÷ 100 = 0.25

100% = 100/100 = 100 ÷ 100 = 1


What does it mean:
Percentage of 25% of which number is equal to 20?

25% of what number = 20

... is equivalent to multiplying them:

25% × number = 20


Number calculation, finding the missing unknown number

Percentage of 25% of what number = 20?

Let y be the number that we have to calculate.

25% × y = 20 =>

y =

20 ÷ 25% =

20 ÷ (25 ÷ 100) =

(100 × 20) ÷ 25 =

2,000 ÷ 25 =

80


25% of 80 = 20

Proof of the calculations

How do we check the result?

We carry out the reverse operation:

If 25% × 80 = 20 =>

Divide 20 by 80...

... And see if we get as a result: 25%


A quick note:

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

100/100 = 100 ÷ 100 = 1

n/100 = n%, any number.


Calculate the percentage value:
See if we get the percentage of 25%

We will prove below that the calculations are correct.

20 ÷ 80 =

0.25 =

0.25 × 100/100 =

(0.25 × 100)/100 =

25/100 =

25%


The answer:

Percentage of 25% of what number = 20?
25% × ? = 20

25% of 80 = 20

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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  • p% of what missing number = the given number N?

Three examples of problems that can be solved out using the information in this section:

  • Problem 1:

  • 25% of the annual profit of a company was invested in buying some new equipment. The total amount invested in buying the new equipment was 100,000 dollars. What was the annual profit of the company?
  • Rewrite: 25% of the Profit means 100,000 dollars => 25% × Profit = 100,000 dollars => Profit = 100,000 ÷ 25% dollars = 100,000 ÷ 25/100 dollars = 100,000 × 100/25 dollars = 100,000 × 4 dollars = 400,000 dollars;
  • Problem 2:

  • 20% of the students in the terminal year have enrolled into the swimming class. In total, 7 students have enrolled. How many students are in the terminal year?
  • Rewrite: 20% of the students means 7 students => 20% × Total number of students = 7 => The total number of students = 7 ÷ 20% = 7 ÷ 20/100 = 7 × 100/20 = 7 × 5 = 35;
  • Problem 3:

  • In the last elections 49% of community memebrs voted for the A Party, 32% for the B Party, and the rest for the C Party. 17,920 people voted for the B Party. How many members are in the community, all in all?
  • Rewrite: 32% of the total community members means 17,920 people => 32% × The total number of community members = 17,920 => The total number of community members = 17,920 ÷ 32% people = 17,920 ÷ 32/100 people = 17,920 × 100/32 people = 17,920/32 × 100 = 560 × 100 people = 56,000 people.

What number is 20 out of 25?

Answer: 20% of 25 is 5.

How do you calculate 20/25 as a percentage?

Step by Step Solution to convert fraction 20/25 to Percent.
Firstly to change the fraction to percent simply divide 20/25..
We will get the resultant decimal value as 0.8..
To change it to percent multiply with 100..
Thus, the equation becomes 0.8*100..
Therefore 20/25 becomes 80% Percentage..

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