Find the percent the first number is of the second number!

Question

Heres the problems

1. 15;20
2. 12;32
3. 8;24
4. 27;36

If you guys could show steps that would be great. And also clear instructions!m

( 6th grade math)

Answer 1

A rule that we will follow: It is assumed that the last number in each row is the highest it can go.

1. 15;20= For this one, lets first identify what numbers can go into 20. These numbers are 1,2,4,5,10,20. Now we must choose a number that goes into 20 but also goes into 15. So that number would be 5. So how many times can 5 go into 20? The answer would be 4 times. If you turn it into a percentage we first need to identify what times 4 would give us 100 as percents are out of 100. The reason we need to find out what times 4 is 100 is because we know that 5x4 is 20. Since 25 x 4 is 100 then we can now solve the problem. Since 5 x 3 is 15, we know that 15 is 75% of 20.

1. 12;32= This one is a little trickier. We again need to find what numbers go into 32 first. Those numbers are 1,2,4,8,16,32. Now we need to find a number that not only goes into 32 but goes into 12 as well. We have a choice of using either 2 or 4. Now in my opinion using the bigger number makes the math easier to solve so we will use 4. Since 4x8 is 32, we know that we need to take our 100 percent and divide it by 8. A neat trick to remember 1/8 as a fraction/percent is that 1/4 is 25 so 1/8 which is one half smaller would be 12.5, so now we need to take 12.5 and multiply it by 3 since 4x3 is 12. 12.5x3 is 37.5%, so this means 12 is 37.5% of 32

1. 8;24= This one should be a little easier as we know that 8x3 is 24. 1/3 of 100 is 33.3% so 8 is 33.3% of 24

1. 27;36= This one is also a little easier then the first 2. We know that 9x4 is 36, and we know that 9x3 is 27. We now know that 1/4 of 100 is 25% so we can identify that 27 is 75% of 36 because 9 would be 25%, 18 would be 50% and 27 would be 75%. So 27 is 75% of 36