#### Solution for 431 is what percent of 480:

431:480*100 =

(431*100):480 =

43100:480 = 89.79

Now we have: 431 is what percent of 480 = 89.79

Question: 431 is what percent of 480?

Percentage solution with steps:

Step 1: We make the assumption that 480 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\%}={480}.

Step 4: In the same vein, {x\%}={431}.

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

{100\%}={480}(1).

{x\%}={431}(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{480}{431}

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

\frac{x\%}{100\%}=\frac{431}{480}

\Rightarrow{x} = {89.79\%}

Therefore, {431} is {89.79\%} of {480}.

#### Solution for 480 is what percent of 431:

480:431*100 =

(480*100):431 =

48000:431 = 111.37

Now we have: 480 is what percent of 431 = 111.37

Question: 480 is what percent of 431?

Percentage solution with steps:

Step 1: We make the assumption that 431 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\%}={431}.

Step 4: In the same vein, {x\%}={480}.

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

{100\%}={431}(1).

{x\%}={480}(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{431}{480}

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

\frac{x\%}{100\%}=\frac{480}{431}

\Rightarrow{x} = {111.37\%}

Therefore, {480} is {111.37\%} of {431}.

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