B is P percent of what
Formula for calculating number A when P percent of it is B
| A | = | B · 100% |
| P |
For the derivation of this equation using the method of solving problems with percentage
| "All" | = | 100% | => | "All" = | "Part" · "100%" |
| "Part" | "Part in %" | Part in % |
Examples of solving problems: find number A when P percent of it is B
Example 1.
40 is 5% of what?
Solution.
| 40 · 100% | = 800 |
| 5% |
Answer: 800.
Example 2.
270 women working in the plant. This is 30% of all workers. How many people work at the plant?
Solution.
| 270 · 100% | = 900 |
| 30% |
Answer: 900 people work at the plant.
Example 3.
How much you need to put on deposit at 10% per annum to a year to make a profit of 1000$.
Solution.
| 1000 · 100% | = 10000 |
| 10% |
Answer: deposit must be 10,000$.
Percent
Percent Definition. Main information
Decimal to Percent. Percent to Decimal
The method of solving problems with percentage
The most common types of problems with percent:
Find P percent of A
B is P percent of what?
B is what percent of A?
Find the number which is greater (less) than a given number by P percent
Find the number A if known number B which greater (less) than A by P percent
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