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Solution for 11 is what percent of 46:

11:46*100 =

(11*100):46 =

1100:46 = 23.91

Now we have: 11 is what percent of 46 = 23.91

Question: 11 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\%}={11}.

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

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

{x\%}={11}(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}{11}

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

\frac{x\%}{100\%}=\frac{11}{46}

\Rightarrow{x} = {23.91\%}

Therefore, {11} is {23.91\%} of {46}.

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Solution for 46 is what percent of 11:

46:11*100 =

(46*100):11 =

4600:11 = 418.18

Now we have: 46 is what percent of 11 = 418.18

Question: 46 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

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

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

{100\%}={11}(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{11}{46}

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

\frac{x\%}{100\%}=\frac{46}{11}

\Rightarrow{x} = {418.18\%}

Therefore, {46} is {418.18\%} of {11}.