#### Solution for 200 is what percent of 640:

200:640*100 =

(200*100):640 =

20000:640 = 31.25

Now we have: 200 is what percent of 640 = 31.25

Question: 200 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\%}={200}.

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

{100\%}={640}(1).

{x\%}={200}(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}{200}

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

\frac{x\%}{100\%}=\frac{200}{640}

\Rightarrow{x} = {31.25\%}

Therefore, {200} is {31.25\%} of {640}.

#### Solution for 640 is what percent of 200:

640:200*100 =

(640*100):200 =

64000:200 = 320

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

Question: 640 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={640}.

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

{100\%}={200}(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{200}{640}

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

\frac{x\%}{100\%}=\frac{640}{200}

\Rightarrow{x} = {320\%}

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

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