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Solution for 321 is what percent of 46:

321:46*100 =

(321*100):46 =

32100:46 = 697.83

Now we have: 321 is what percent of 46 = 697.83

Question: 321 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\%}={321}.

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

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

{x\%}={321}(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}{321}

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

\frac{x\%}{100\%}=\frac{321}{46}

\Rightarrow{x} = {697.83\%}

Therefore, {321} is {697.83\%} of {46}.

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Solution for 46 is what percent of 321:

46:321*100 =

(46*100):321 =

4600:321 = 14.33

Now we have: 46 is what percent of 321 = 14.33

Question: 46 is what percent of 321?

Percentage solution with steps:

Step 1: We make the assumption that 321 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\%}={321}.

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

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

{100\%}={321}(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{321}{46}

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

\frac{x\%}{100\%}=\frac{46}{321}

\Rightarrow{x} = {14.33\%}

Therefore, {46} is {14.33\%} of {321}.