#### Solution for 409 is what percent of 640:

409:640*100 =

(409*100):640 =

40900:640 = 63.91

Now we have: 409 is what percent of 640 = 63.91

Question: 409 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\%}={409}.

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

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

{x\%}={409}(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}{409}

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

\frac{x\%}{100\%}=\frac{409}{640}

\Rightarrow{x} = {63.91\%}

Therefore, {409} is {63.91\%} of {640}.

#### Solution for 640 is what percent of 409:

640:409*100 =

(640*100):409 =

64000:409 = 156.48

Now we have: 640 is what percent of 409 = 156.48

Question: 640 is what percent of 409?

Percentage solution with steps:

Step 1: We make the assumption that 409 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\%}={409}.

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

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

{100\%}={409}(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{409}{640}

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

\frac{x\%}{100\%}=\frac{640}{409}

\Rightarrow{x} = {156.48\%}

Therefore, {640} is {156.48\%} of {409}.

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