Suppose a business donates 1% of its profits to charity each year. How much would it donate if it made $7,500 in profits?
To find 1% of 7,500, we can multiply 7,500 by 1001 or 0.01.
1001⋅7,500=75, so the business would donate $75.
What if the business donates 6% of its profits to charity? Because 6% of 7,500 is 6 times as much as 1% of 7,500, we can calculate 6⋅1001⋅7,500 or 1006⋅7,500.
1006⋅7,500=450, so the business would donate $450.
The same reasoning can help us find 1%, 6%, and other percentages of another number:
To find 1% of a number, we can multiply that number by 1001 or 0.01.
To find 6% of a number, we can multiply the number by 1006 or 0.06.
To find 49% of a number, we can multiply the number by 10049 or 0.49.
To find 135% of a number, we can multiply the number by 100135 or 1.35.
In general, to find P% of any number, x, we can calculate: 100P⋅x.