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:

• 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.
• 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?
• 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?
• 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.
• Web server
  Calculate how many average minutes the web server is unavailable a year if the availability is 99%.
• 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?
• Paddlers
  Students of canoeists traveled on a trip of three days 84 km. On the second day, they traveled 7% more than the first day and on the third day 5 km over the second day. How many kilometers are traveled each day?
• Bonus
  The gross wage was 1222 EUR, including the 14% bonus. How many EUR were bonuses?
• What is 26
  What is the selling price of goods listed at P580 less discounts of 20%,12 1/2%, and 5.5%?
• Hop-garden
  The length of the rectangular hop garden Mr. Smith increased by 25% and its width by 25%. What is the percentage change in the area of the hop garden?
• Ace
  We pulled out one card from a complete set of playing cards (32 cards). What is the probability of pulling the ace?
• Accidents
  The count of accidents in 1991 caused 8444 women, which is 9%. How many men caused the accidents?

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