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Solution for 356 is what percent of 46:

356:46*100 =

(356*100):46 =

35600:46 = 773.91

Now we have: 356 is what percent of 46 = 773.91

Question: 356 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\%}={356}.

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

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

{x\%}={356}(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}{356}

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

\frac{x\%}{100\%}=\frac{356}{46}

\Rightarrow{x} = {773.91\%}

Therefore, {356} is {773.91\%} of {46}.

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Solution for 46 is what percent of 356:

46:356*100 =

(46*100):356 =

4600:356 = 12.92

Now we have: 46 is what percent of 356 = 12.92

Question: 46 is what percent of 356?

Percentage solution with steps:

Step 1: We make the assumption that 356 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\%}={356}.

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

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

{100\%}={356}(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{356}{46}

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

\frac{x\%}{100\%}=\frac{46}{356}

\Rightarrow{x} = {12.92\%}

Therefore, {46} is {12.92\%} of {356}.