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Solution for 355 is what percent of 46:

355:46*100 =

(355*100):46 =

35500:46 = 771.74

Now we have: 355 is what percent of 46 = 771.74

Question: 355 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\%}={355}.

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

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

{x\%}={355}(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}{355}

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

\frac{x\%}{100\%}=\frac{355}{46}

\Rightarrow{x} = {771.74\%}

Therefore, {355} is {771.74\%} of {46}.

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Solution for 46 is what percent of 355:

46:355*100 =

(46*100):355 =

4600:355 = 12.96

Now we have: 46 is what percent of 355 = 12.96

Question: 46 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

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

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

{100\%}={355}(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{355}{46}

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

\frac{x\%}{100\%}=\frac{46}{355}

\Rightarrow{x} = {12.96\%}

Therefore, {46} is {12.96\%} of {355}.