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Solution for 368 is what percent of 46:

368:46*100 =

(368*100):46 =

36800:46 = 800

Now we have: 368 is what percent of 46 = 800

Question: 368 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\%}={368}.

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

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

{x\%}={368}(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}{368}

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

\frac{x\%}{100\%}=\frac{368}{46}

\Rightarrow{x} = {800\%}

Therefore, {368} is {800\%} of {46}.

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Solution for 46 is what percent of 368:

46:368*100 =

(46*100):368 =

4600:368 = 12.5

Now we have: 46 is what percent of 368 = 12.5

Question: 46 is what percent of 368?

Percentage solution with steps:

Step 1: We make the assumption that 368 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\%}={368}.

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

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

{100\%}={368}(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{368}{46}

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

\frac{x\%}{100\%}=\frac{46}{368}

\Rightarrow{x} = {12.5\%}

Therefore, {46} is {12.5\%} of {368}.