percentage question?

Question

Hi can someone show me how to do this problem please

2/3% of (?) = 33.3

the book says the right answer is 5000...the one guy got 50.which is what i keep getting, dont understand why its 5000.

Answer 1

Define your unknown: let ? = x.
Rewrite: (2/3)% x = 33.3

Now make (2/3)% into a recognizable number. Consider what 1% would be as a decimal: 0.01. So, to make 2/3 into a percent, first realize that 2/3 = 0.66667 (rounded off). Now, make 0.66667% a decimal: 0.0066667.

Put this decimal back into your equation:
0.0066667x = 33.3

Isolate the x by dividing both sides by 0.0066667.
x = 33.3/0.0066667
x = 4995

Answer 2

Whenever you have an "?" insert an "x" and then solve algabraically. So, the question becomes 2/3x=33.3. Then multiply both sides by 3. You get 2x=100. Then, divide both sides by 2 and x=50.
Check to make sure it makes sense. Is 2/3rds of 50 the same as 33.3? Yep.

Answer 3

Anytime you see "of" in a percent problem substitue an X (as in algebra) So we have:

2/3%X = 33.3

Next let's translate the fraction to decimal

.6666%X = 33.3

Wait, we still have that % sign in there, let's get rid of that too.

.006666X = 33.3

Then divide both sides by .006666 to isolate X:

X = 33.3 / .00666

Then just plug that in your calculator and you get

X = 4995,

but that's assuming the 33.3 has only the one place decimal. X = 5000 if it was 33.333333333

Answer 4

Multiply everything by 3/2 and you get 1% of (?) = 50.

Therefore (?) =50 x 100 = 5000.

Answer 5

0.222

Because 1% of 33.3 is 0.333
0.333*2/3=0.222

Answer 6

Here's one way:

2 divided by 3 = 0.6667
1% = 1 divided by 100 = 0.01
2/3% = 0.6667 x 0.01 = 0.06667
0.06667X = 33.3

Solve for X by dividing each side by 0.06667