Find the missing multiplier to increase a number to 100%

[strugglingwithlearning]

Hi,

I'm stuck on this and hope someone can point me in the right direction.

I have the following numbers:

1323 = 100%
500 = 37.79%

500 x ? = 1323

How do I go about working out what the missing number is?

Thanks in advance!

 

[lev888]

When you are not sure what operation to apply, replace your numbers with something easy to deal with.
2 x ? = 6
Can you do it now?

 

[Steven G]

lev888 hint is excellent.
Here is another way to do this. Multiply 500 by some number to get 1. Then multiply 1 by some number to get 1323.

 

[strugglingwithlearning]

Hi!
@lev888 yes thanks, that would be 3. I guess I was more looking for an equation to find the number no matter what value the others were.
@Jomo thanks, I'm not entirely sure I follow though.

Luckily I worked out what I need:

1 / 0.3779 = 2.646202699
500 x 2.646202699 = 1323 (rounded)

Basically divide 100 by the percentage to get the number.

Cheers all!

 

[lev888]

Hi!
@lev888 yes thanks, that would be 3. I guess I was more looking for an equation to find the number no matter what value the others were.
@Jomo thanks, I'm not entirely sure I follow though.

Luckily I worked out what I need:

1 / 0.3779 = 2.646202699
500 x 2.646202699 = 1323 (rounded)

Basically divide 100 by the percentage to get the number.

Cheers all!

How did you get 3? The answer is the method you can use for any other numbers.

 

[Steven G]

@Jomo thanks, I'm not entirely sure I follow though.

Suppose you want to know what to multiply 2/3 by to get 7/11.
If you multiply 2/3 by 3/2 you get 1. Now you multiply 1 by 7/11 to get 7/11.

So [math]\dfrac{2}{3}*(\dfrac{3}{2}\dfrac{7}{11})= \dfrac{2}{3}*\dfrac{21}{22} = \dfrac{7}{11}[/MATH]
Now we know that you multiply 2/3 by 21/22 to get 7/11

 

[strugglingwithlearning]

@lev888 Aha, I divided 6 by 2. Thanks, that makes sense.

@Jomo I think that's a little over my head for now. I will come back to it later on though! Thank you!