#### Solution for 480 is what percent of 525:

480:525*100 =

(480*100):525 =

48000:525 = 91.43

Now we have: 480 is what percent of 525 = 91.43

Question: 480 is what percent of 525?

Percentage solution with steps:

Step 1: We make the assumption that 525 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\%}={525}.

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

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

{100\%}={525}(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{525}{480}

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

\frac{x\%}{100\%}=\frac{480}{525}

\Rightarrow{x} = {91.43\%}

Therefore, {480} is {91.43\%} of {525}.

#### Solution for 525 is what percent of 480:

525:480*100 =

(525*100):480 =

52500:480 = 109.38

Now we have: 525 is what percent of 480 = 109.38

Question: 525 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\%}={525}.

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

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

{x\%}={525}(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}{525}

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

\frac{x\%}{100\%}=\frac{525}{480}

\Rightarrow{x} = {109.38\%}

Therefore, {525} is {109.38\%} of {480}.

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