document.write( "Question 576893: If 20% of A is the 30% of B. What percent of B is A? \n" ); document.write( "

Algebra.Com's Answer #370028 by KMST(5328) $\"\"$ $\"About$

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THE SIMPLE WAY
\n" ); document.write( "The problem did not give any numbers for A and B because it does not matter what they are. The answer would be the same for any B, as long as \"20% of A is the 30% of B.\"
\n" ); document.write( "So we set up a convenient B.
\n" ); document.write( "If B was 100, 30% of B would be 30, and that would be 20% (or 1/5) of A.
\n" ); document.write( "So A would be 5 times 30, or 150, which is 150% of the 100 that we assumed B to be.
\n" ); document.write( "THE ALGEBRA WAY
\n" ); document.write( "20% of A is $\"0.20%2AA\"$
\n" ); document.write( "30% of B is $\"0.30%2AB\"$
\n" ); document.write( "We know that $\"0.20%2AA=0.30%2AB\"$
\n" ); document.write( "What percent of B is A? Let's find out what fraction of B is A
\n" ); document.write( " $\"0.20%2AA=0.30%2AB\"$ --> $\"0.20%2AA%2F0.20=0.30%2AB%2F0.20\"$ --> $\"A=%280.30%2F0.20%29%2AB\"$ --> $\"A=1.5%2AB\"$ --> $\"A%2FB=1.5%2AB%2FB\"$ --> $\"A%2FB=1.5\"$ --> $\"A%2FB=150%2F100\"$
\n" ); document.write( "So A is 150% of B. \n" ); document.write( "

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