Question

45 is what percentage of 150?

Answer 1

percent means parts out of 100
x%=x/100

'is' means euqals

'of' means multiply

45 is what percetn ot 150 means
45=x/100 times 150
45=150x/100
45=15x/10
45=3x/2
45=3/2x
multiply both sides by 2/3 to make one (3/2 times 2/3=6/6=1 and x times 1=x)
90/3=6/6x
30=x

answer is 30%

Answer 2

In order to find what percentage of a number a different number is, all we have to do is divide the second number by the first number.

45 / 150 = 0.3

To find a percentage based off of a decimal, you simply have to multiply the decimal by 100, or (my personal shortcut) just shift the decimal point over two places to the left.

0.3 = 30%

45 is 30% of 150.
Hope that helped! =)