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Solution for 72.5 is what percent of 46:

72.5:46*100 =

(72.5*100):46 =

7250:46 = 157.60869565217

Now we have: 72.5 is what percent of 46 = 157.60869565217

Question: 72.5 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={46}.

Step 4: In the same vein, {x\%}={72.5}.

Step 5: This gives us a pair of simple equations:

{100\%}={46}(1).

{x\%}={72.5}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{46}{72.5}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{72.5}{46}

\Rightarrow{x} = {157.60869565217\%}

Therefore, {72.5} is {157.60869565217\%} of {46}.

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Solution for 46 is what percent of 72.5:

46:72.5*100 =

(46*100):72.5 =

4600:72.5 = 63.448275862069

Now we have: 46 is what percent of 72.5 = 63.448275862069

Question: 46 is what percent of 72.5?

Percentage solution with steps:

Step 1: We make the assumption that 72.5 is 100% since it is our output value.

Step 2: We next represent the value we seek with {x}.

Step 3: From step 1, it follows that {100\%}={72.5}.

Step 4: In the same vein, {x\%}={46}.

Step 5: This gives us a pair of simple equations:

{100\%}={72.5}(1).

{x\%}={46}(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{72.5}{46}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{46}{72.5}

\Rightarrow{x} = {63.448275862069\%}

Therefore, {46} is {63.448275862069\%} of {72.5}.