60% of what number is 24?
180% of what number is 80?
Please explain the method.
well think of it this way, 60 and 24 are dividable by 6, so divide 60 by 6 and 24 by 6 so 10 percent is 4, 10 times 10 percent is 100, which would be 40 if each ten percent is 4.
.6 (some number) = 24
.6(some number)/.6 = 24/.6
some number = 40
or more in standard form
.6x = 24
x = 24/.6 = 40
1.8x = 80
x = 80/1.8 = 44.44.. (the 4 repeats)
or x = 400/9
check:
(180/100)(400/9)
= 80
Oh wait! I'm sorry 180% was supposed to be 160% my bad.
To find the number that corresponds to a certain percentage, you can use the following equation:
Percentage × Number = Result
Let's solve the first question, "60% of what number is 24?"
1. Plug in the given values into the equation:
60% × Number = 24
2. To solve for the Number, we need to isolate it. Divide both sides of the equation by 60% (which is equivalent to dividing it by 0.6):
Number = 24 ÷ 0.6
3. Perform the division to find the value of Number:
Number = 40
Therefore, 60% of 40 is equal to 24.
Now, let's move onto the second question, "180% of what number is 80?"
1. Set up the equation:
180% × Number = 80
2. Isolate Number by dividing both sides of the equation by 180% (which is equivalent to dividing it by 1.8):
Number = 80 ÷ 1.8
3. Calculate the division to determine the value of Number:
Number ≈ 44.44 (rounded to two decimal places)
Hence, 180% of approximately 44.44 is equal to 80.