SOLUTION: could you please give me a step-by-step explaination of this : 20.4 is 24% of what number? I don't know how to set the problem up.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: could you please give me a step-by-step explaination of this : 20.4 is 24% of what number? I don't know how to set the problem up.      Log On


   



Question 4304: could you please give me a step-by-step explaination of this :
20.4 is 24% of what number? I don't know how to set the problem up.

Found 2 solutions by rapaljer, bonster:
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
In your third step you multiplies 3 times 15 and got 75. Should be 45. When you correct that error, the answer should be x=6, which does check.

Thanks for your question.

R^2 at SCC

Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
We know that 20.4 is 24% of an unknown number.
1.) Convert the fraction (24%) into a decimal. That will give you .24
2.) If you think about it, you can write out the problem just like it sounds:
20.4 is equal to .24 of (x)
20.4=.24(x)
3.) Multiply both sides by %281%2F.24%29
20.4%2F.24=%28.24x%29%2F.24
4.) Get rid of the decimals by moving two spaces to the right (multiply by 100)
2040%2F24=%2824x%2924
5) Reduce to get your answer!
85=x
So 20.4 is 24% of 85.