#### Solution for 525 is what percent of 496:

525:496*100 =

(525*100):496 =

52500:496 = 105.85

Now we have: 525 is what percent of 496 = 105.85

Question: 525 is what percent of 496?

Percentage solution with steps:

Step 1: We make the assumption that 496 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\%}={496}.

Step 4: In the same vein, {x\%}={525}.

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

{100\%}={496}(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{496}{525}

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

\frac{x\%}{100\%}=\frac{525}{496}

\Rightarrow{x} = {105.85\%}

Therefore, {525} is {105.85\%} of {496}.

#### Solution for 496 is what percent of 525:

496:525*100 =

(496*100):525 =

49600:525 = 94.48

Now we have: 496 is what percent of 525 = 94.48

Question: 496 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\%}={496}.

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

{100\%}={525}(1).

{x\%}={496}(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}{496}

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

\frac{x\%}{100\%}=\frac{496}{525}

\Rightarrow{x} = {94.48\%}

Therefore, {496} is {94.48\%} of {525}.

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