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Solution for 338 is what percent of 46:

338:46*100 =

(338*100):46 =

33800:46 = 734.78

Now we have: 338 is what percent of 46 = 734.78

Question: 338 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\%}={338}.

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

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

{x\%}={338}(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}{338}

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

\frac{x\%}{100\%}=\frac{338}{46}

\Rightarrow{x} = {734.78\%}

Therefore, {338} is {734.78\%} of {46}.

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Solution for 46 is what percent of 338:

46:338*100 =

(46*100):338 =

4600:338 = 13.61

Now we have: 46 is what percent of 338 = 13.61

Question: 46 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

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

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

{100\%}={338}(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{338}{46}

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

\frac{x\%}{100\%}=\frac{46}{338}

\Rightarrow{x} = {13.61\%}

Therefore, {46} is {13.61\%} of {338}.