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Solution for 306 is what percent of 46:

306:46*100 =

(306*100):46 =

30600:46 = 665.22

Now we have: 306 is what percent of 46 = 665.22

Question: 306 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\%}={306}.

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

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

{x\%}={306}(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}{306}

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

\frac{x\%}{100\%}=\frac{306}{46}

\Rightarrow{x} = {665.22\%}

Therefore, {306} is {665.22\%} of {46}.

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Solution for 46 is what percent of 306:

46:306*100 =

(46*100):306 =

4600:306 = 15.03

Now we have: 46 is what percent of 306 = 15.03

Question: 46 is what percent of 306?

Percentage solution with steps:

Step 1: We make the assumption that 306 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\%}={306}.

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

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

{100\%}={306}(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{306}{46}

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

\frac{x\%}{100\%}=\frac{46}{306}

\Rightarrow{x} = {15.03\%}

Therefore, {46} is {15.03\%} of {306}.