58.52 is 22% of what number?

Question

58.52 is 22% of what number?

Answer 1

Set up a proportion:

 

 22       58.52

----  =   ------

100          x

 

That is, the ratio of 22% to 100% is the same as the ratio of 58.52 to x.  Here x is the number we are trying to find.  Hence:

 

22x = (58.52)(100)

 

Now solve for x.  Let me know what you get in the comments

 

[Teaching moment.  Please let the student complete the problem.  Thank you.]

Answer 2

Because this is business math, I'm suspecting you are learning this using base, rate, part, and not using algebra.  (Proportions work well too if you're learning that.)  If you're actually using algebra in that class, you can ignore me as it's just a different approach.

 

Remember that P = B x R

 

So say I had 10 apples and gave away 3 and that's 30%.

 

i.e. 3 is 30% of 10.

 

So the base is the "original" number; it's the "of."  The part is generally some portion of that base (and usually a smaller number but it can be bigger if you have an increase problem).

 

P = B x R

 

We can rewrite that as:

B = P/R

R = P/B

 

So solving for the B or R is a division, and the P always goes first or on top.

 

Your problem is asking for the base.  58.52 is 22% OF what number?  That's asking for base.

So B = P/R

B = 58.52 / .22

 

 

 

Answer 3

Another approach:

 

(58.52)(is)(22%)(of)(what number?)

 

58.52 = (22/100) * x; [Where * means multiply.]

 

Multiply both sides by 100/22:

 

5852/22 = x

 

x = 2926/11 = 266

 

Can you do this problem without a calculator? You should.

Answer 4

58.52 is 22% of what number'

 

This can be rewritten as;

 

58.52 = 22% × 'Y'               .....................Y is the unknown number.

 

remember 22% = 22/100 => 0.22

so;

 

58.52 = 0.22Y

 

solve for Y by dividing both sides by 0.22

 

58.52 / 0.22 = Y

 

 

Answer 5

Hi Jessica;

22%=0.22

x=number

0.22x=58.52

Divide both sides by 0.22

(0.22x)/0.22=58.52/0.22

x=266

 

Let's check our work...

266(0.22)=58.52