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Solution for 320 is what percent of 46:

320:46*100 =

(320*100):46 =

32000:46 = 695.65

Now we have: 320 is what percent of 46 = 695.65

Question: 320 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\%}={320}.

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

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

{x\%}={320}(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}{320}

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

\frac{x\%}{100\%}=\frac{320}{46}

\Rightarrow{x} = {695.65\%}

Therefore, {320} is {695.65\%} of {46}.

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Solution for 46 is what percent of 320:

46:320*100 =

(46*100):320 =

4600:320 = 14.38

Now we have: 46 is what percent of 320 = 14.38

Question: 46 is what percent of 320?

Percentage solution with steps:

Step 1: We make the assumption that 320 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\%}={320}.

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

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

{100\%}={320}(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{320}{46}

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

\frac{x\%}{100\%}=\frac{46}{320}

\Rightarrow{x} = {14.38\%}

Therefore, {46} is {14.38\%} of {320}.