Question

You know that some percent of a number is 45.

a) How much is the same percent of twice that number?

b) How much is the same percent of half that number?

Answer 1

Percentage(%) is a fraction with 100 in the denominators place. So, when you say 45% of a number, that means you are dividing the number into 100 small parts and taking 45 parts from them.

Suppose, you want 45% of a number ‘x' (say). That means you divide the number into 100 small parts. So x100
x
100
is the small part we got. Now, we have to take 45 parts from them, so we multiply the small part by 45 , thus getting 45x100
45
x
100
.

If you want to get the 45% of a number, just multiply it with 45100
45
100


Hope it helped. Comment down below for any questions.

Answer 2

The same percent of twice the original number where some percent is 45 would be 90. For half that number, the same percent would result in 22.5. These values are obtained by respectively doubling or halving the original percent value of 45.

Step-by-step explanation:

If some percent of a number is 45, we can find the same percent of twice and half that number using simple percentage calculations. Let's denote the percent as P, and the original number as N such that P% of N is 45.

For part a), we want P% of twice N. If the P% of N is 45, then P% of 2N will be twice of 45, which is 90.

For part b), we want P% of half of N. If P% of N is 45, then P% of (1/2)N will be half of 45, which results in 22.5.

These calculations are similar to multiplying a number by 100 to move the decimal two places to the right, demonstrating how the percentage changes when the base number changes. We used the knowledge that one half of one-half is one-quarter to simplify the calculations.