Problem: 27 is 45 percent of what number?
Solution:
One way to calculate percentages is to use this general percentage formula:
If you know any two values of the formula, you can calculate the third one. In this example, you know the 'part' (27) and the 'percentage' (45%). So, you can find the 'whole'.
By replacing the given values in the formula, you get:
Cross-multiply:
45 × whole = 27 × 100
Divide by 45 and get the whole:
whole | = | 27 × 100 | = | 60 |
45 |
27 is x percent of what chart
27 is 100 percent of 27 | |
27 is 95 percent of 28.42 | |
27 is 90 percent of 30 | |
27 is 85 percent of 31.76 | |
27 is 80 percent of 33.75 | |
27 is 75 percent of 36 | |
27 is 70 percent of 38.57 | |
27 is 65 percent of 41.54 | |
27 is 60 percent of 45 | |
27 is 55 percent of 49.09 | |
27 is 50 percent of 54 | |
27 is 45 percent of 60 | |
27 is 40 percent of 67.5 | |
27 is 35 percent of 77.14 | |
27 is 30 percent of 90 | |
27 is 25 percent of 108 | |
27 is 20 percent of 135 | |
27 is 15 percent of 180 | |
27 is 10 percent of 270 | |
27 is 9 percent of 300 | |
27 is 8 percent of 337.5 | |
27 is 7 percent of 385.71 | |
27 is 6 percent of 450 | |
27 is 5 percent of 540 | |
27 is 4 percent of 675 | |
27 is 3 percent of 900 | |
27 is 2 percent of 1350 | |
27 is 1 percent of 2700 |
Above, we have a grafical representation using strip diagrams (or percent bars) of 27 is x percent of what, where x ranges from 1 to 100%, for your reference.
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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
45% of what missing number = 27?
Detailed calculations and the verification of the result
A brief introduction. Percent, p%
'Percent (%)' means 'out of one hundred':
45% = 45 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100
45% = 45/100 = 45 ÷ 100 = 0.45
100% = 100/100 = 100 ÷ 100 = 1
What does it mean:
Percentage of 45% of
which number is equal to 27?
45% of what number = 27
... is equivalent to multiplying them:
45% × number = 27
Number calculation, finding the missing unknown number
Percentage of 45% of what number = 27?
Let y be the number that we have to calculate.
45% × y = 27 =>
y =
27 ÷ 45% =
27 ÷ (45 ÷ 100) =
(100 × 27) ÷ 45 =
2,700 ÷ 45 =
60
45% of 60 = 27
Proof of the calculations
How do we check the result?
We carry out the reverse operation:
If 45% × 60 = 27 =>
Divide the number 27 by the number 60...
... And see if we get as a result: 45%
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 45%
We will prove below that the calculations are correct.
27 ÷ 60 =
0.45 =
0.45 × 100/100 =
(0.45 × 100)/100 =
45/100 =
45%
The answer:
Percentage of 45% of what number = 27?
45% × ? = 27
45% of 60 = 27
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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Percentage of what number equals the other given value?
Calculated percentage of which number is equal to the given value?
- 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:
- A number of 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 is 27 of 45 as a percentage?
First, you need to calculate your grade in percentages. The total answers count 45 - it's 100%, so we to get a 1% value, divide 45 by 100 to get 0.45. Next, calculate the percentage of 27: divide 27 by 1% value (0.45), and you get 60.00% - it's your percentage grade.
What is the answer 20% of 45?
Answer: 20% of 45 is 9.
What is 45 as a number?
45 (forty-five) is the natural number following 44 and followed by 46.