#### Solution for 46 is what percent of 512:

46:512*100 =

(46*100):512 =

4600:512 = 8.98

Now we have: 46 is what percent of 512 = 8.98

Question: 46 is what percent of 512?

Percentage solution with steps:

Step 1: We make the assumption that 512 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\%}={512}.

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

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

{100\%}={512}(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{512}{46}

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

\frac{x\%}{100\%}=\frac{46}{512}

\Rightarrow{x} = {8.98\%}

Therefore, {46} is {8.98\%} of {512}.

#### Solution for 512 is what percent of 46:

512:46*100 =

(512*100):46 =

51200:46 = 1113.04

Now we have: 512 is what percent of 46 = 1113.04

Question: 512 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\%}={512}.

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

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

{x\%}={512}(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}{512}

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

\frac{x\%}{100\%}=\frac{512}{46}

\Rightarrow{x} = {1113.04\%}

Therefore, {512} is {1113.04\%} of {46}.

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