Percentage calculator

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We know three variables from school: percentage (p), percentage part (c) and base (z). They are connected by the formula .

What is % of ?
is what percent of ?
is % of what?
The fraction / is what percent?
% increase of is
% decrease of is
% is what fraction/number?
What is the percentage increase/decrease from to ?
Climb/descent of % is what angle in degrees?
Climb/descent of degrees is what percent?
If a goods sells for after a % markdown, what was its original price?

What is a percentage?

A percentage is a ratio whose second term is always 100. The term "percent" means parts per hundred. It originates from the Latin phrase per centum, which translates to "per hundred." In mathematics, the symbol % is used to denote percentages, and it can also be abbreviated as pct.
For example, 12% (read as 'twelve percent') is equivalent to:

• The fraction 12/100,
• The simplified fraction 3/25, or
• The decimal 0.12.

Percentages are commonly used to express how large or small one quantity is relative to another. They provide a standardized way to compare proportions and understand relationships between quantities.

Percentage in word problems:

• Built-up area
  John build-up area 4.3 x 6.3 = 27.09 m² with building with a wall thickness 25 cm. How many centimeters would he have to subtract from the thickness of the walls that the built-up area fell by 5%?
• Road
  The angle of a straight road is approximately 12 degrees. Determine the percentage of this road.
• Insurance
  The house owner is insured against natural disasters and pays 0.05% annually of the value of the house 88 Eur. Calculate the value of the house. Calculate the probability of disaster if you know that 50% of the insurance is to pay damages.
• Discounts on rail (ZSSK)
  The railway company ZSSK offers a discount of 40% (SENIOR RAILPLUS) for 9.9 Eur/year. Calculate the real discount rate as a percentage, where passengers will travel 5 Eur per week.
• Human buying irrationality
  I longer watch processors for Socket A on the secondhand market, Athlon XP 1.86GHz with a PR rating of 2500+ costs $7, and Athlon XP 2.16Ghz with a PR rating of 3000+ currently costs $16. Calculate: About what percentage of the Athlon XP 2.16Ghz is more p
• Promile
  Calculate the 17.6 ‰ of 353.
• Iron
  Iron ore contains 61% iron. How much iron ore is needed to produce 29 tons of iron?
• Event probability
  The probability of event N in 5 independent experiments is 0.4. What is the probability that the event N occurs in one experiment (chance is the same)?
• Cone and cube
  About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r?
• Rectangles
  How many rectangles with area 8855 cm² whose sides are natural numbers?
• Date game
  Let now is Tuesday. What day is after 229 days? Write the result as a number: 1=Monday, 2=Tuesday, 3=Wednesday, 4=Thursday, 5=Friday, 6=Saturday, 7=Sunday.
• The www server
  Calculate how many average minutes the web server is unavailable a year if the availability is 99.9999%.
• Rectangle
  In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than any side of the rectangle?
• Sea water
  Seawater contains about 6.5% salt. How many dm³ of distilled water must we pour into 21 dm³ of seawater to get water with 1.2% salt?
• Sea water
  Mixing 63 kg of seawater with 43 kg rainwater is created water containing 2.7% salt. How much percent of seawater contains salt?

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