#### Solution for 334 is what percent of 409:

334:409*100 =

(334*100):409 =

33400:409 = 81.66

Now we have: 334 is what percent of 409 = 81.66

Question: 334 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\%}={334}.

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

{100\%}={409}(1).

{x\%}={334}(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}{334}

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

\frac{x\%}{100\%}=\frac{334}{409}

\Rightarrow{x} = {81.66\%}

Therefore, {334} is {81.66\%} of {409}.

#### Solution for 409 is what percent of 334:

409:334*100 =

(409*100):334 =

40900:334 = 122.46

Now we have: 409 is what percent of 334 = 122.46

Question: 409 is what percent of 334?

Percentage solution with steps:

Step 1: We make the assumption that 334 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\%}={334}.

Step 4: In the same vein, {x\%}={409}.

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

{100\%}={334}(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{334}{409}

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

\frac{x\%}{100\%}=\frac{409}{334}

\Rightarrow{x} = {122.46\%}

Therefore, {409} is {122.46\%} of {334}.

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