#### Solution for 409 is what percent of 432:

409:432*100 =

(409*100):432 =

40900:432 = 94.68

Now we have: 409 is what percent of 432 = 94.68

Question: 409 is what percent of 432?

Percentage solution with steps:

Step 1: We make the assumption that 432 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\%}={432}.

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

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

{100\%}={432}(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{432}{409}

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

\frac{x\%}{100\%}=\frac{409}{432}

\Rightarrow{x} = {94.68\%}

Therefore, {409} is {94.68\%} of {432}.

#### Solution for 432 is what percent of 409:

432:409*100 =

(432*100):409 =

43200:409 = 105.62

Now we have: 432 is what percent of 409 = 105.62

Question: 432 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\%}={432}.

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

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

{x\%}={432}(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}{432}

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

\frac{x\%}{100\%}=\frac{432}{409}

\Rightarrow{x} = {105.62\%}

Therefore, {432} is {105.62\%} of {409}.

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