Question

What number is 15% of 43

?
43 % of 300 is what
number?
12% of what number is 43?
43 is what percent of 106?
What percent of 43 is 6?

Answer 1

Explanation:

So when a question asks what is x% of the y number. It's asking you to convert the x into decimal form by dividing by 100 and then multiply it by y. This gives you the equation:
`y * (x)/(100)` which gives you x% of y. so 15% of 43 is
`43 * (15)/(100) = 6.45`. 43% of 300 is
`300 * (43)/(100) = 129`.

the 12% of what number is 43 is a bit more tricky. It's asking you to instead find a number in which 12% of it is equal to 43. So instead of plugging solving for the percentage (which is already given) you solve for y. This gives you the following equation:
`y * (12)/(100) = 43`. Now all you do is calculate 12/100 which gives you
`y * 0.12 = 43`. now divide both sides by 0.12 to solve for y. This gives you
`y = 358.\overline{33}`

43 is what percent of 106? This question is also a bit tricky, but instead of solving for y, you're solving for x. So plug in the known values, which gives you the equation:
`106 * (x)/(100) = 43`. Divide both sides by 106 to get
`(x)/(100) \approx 0.406` and now multiply both sides by 100. this gives you
`x \approx 40.57` which is the answer 40.57%

What percent of 43 is 6. This is asking the same thing just in a different way. So percentage = unknown, entire number = 43, entire number * percentage = 6. With these values we get the equation:
`43 * (x)/(100) = 6`. Divide both sides by 43 to get
`(x)/(100) \approx 0.140` now multiply by 100 to get
`x \approx 13.95` which is the answer 13.95%