#### Solution for 320 is what percent of 640:

320:640*100 =

(320*100):640 =

32000:640 = 50

Now we have: 320 is what percent of 640 = 50

Question: 320 is what percent of 640?

Percentage solution with steps:

Step 1: We make the assumption that 640 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\%}={640}.

Step 4: In the same vein, {x\%}={320}.

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

{100\%}={640}(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{640}{320}

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

\frac{x\%}{100\%}=\frac{320}{640}

\Rightarrow{x} = {50\%}

Therefore, {320} is {50\%} of {640}.

#### Solution for 640 is what percent of 320:

640:320*100 =

(640*100):320 =

64000:320 = 200

Now we have: 640 is what percent of 320 = 200

Question: 640 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\%}={640}.

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

{100\%}={320}(1).

{x\%}={640}(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}{640}

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

\frac{x\%}{100\%}=\frac{640}{320}

\Rightarrow{x} = {200\%}

Therefore, {640} is {200\%} of {320}.

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