Question

What number is 15% of 43

Answer 1

Step-by-step 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: $y * \frac{x}{100}$ which gives you x% of y. so 15% of 43 is $43 * \frac{15}{100} = 6.45$. 43% of 300 is $300 * \frac{43}{100} = 129$.

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: $y * \frac{12}{100} = 43$. 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: $106 * \frac{x}{100} = 43$. Divide both sides by 106 to get $\frac{x}{100} \approx 0.406$ 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: $43 * \frac{x}{100} = 6$. Divide both sides by 43 to get $\frac{x}{100} \approx 0.140$ now multiply by 100 to get $x \approx 13.95$ which is the answer 13.95%