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Solution for 17 is what percent of 46:

17:46*100 =

(17*100):46 =

1700:46 = 36.96

Now we have: 17 is what percent of 46 = 36.96

Question: 17 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\%}={17}.

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

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

{x\%}={17}(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}{17}

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

\frac{x\%}{100\%}=\frac{17}{46}

\Rightarrow{x} = {36.96\%}

Therefore, {17} is {36.96\%} of {46}.

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Solution for 46 is what percent of 17:

46:17*100 =

(46*100):17 =

4600:17 = 270.59

Now we have: 46 is what percent of 17 = 270.59

Question: 46 is what percent of 17?

Percentage solution with steps:

Step 1: We make the assumption that 17 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\%}={17}.

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

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

{100\%}={17}(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{17}{46}

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

\frac{x\%}{100\%}=\frac{46}{17}

\Rightarrow{x} = {270.59\%}

Therefore, {46} is {270.59\%} of {17}.