#### Solution for 538 is what percent of 582:

538:582*100 =

(538*100):582 =

53800:582 = 92.44

Now we have: 538 is what percent of 582 = 92.44

Question: 538 is what percent of 582?

Percentage solution with steps:

Step 1: We make the assumption that 582 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\%}={582}.

Step 4: In the same vein, {x\%}={538}.

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

{100\%}={582}(1).

{x\%}={538}(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{582}{538}

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

\frac{x\%}{100\%}=\frac{538}{582}

\Rightarrow{x} = {92.44\%}

Therefore, {538} is {92.44\%} of {582}.

#### Solution for 582 is what percent of 538:

582:538*100 =

(582*100):538 =

58200:538 = 108.18

Now we have: 582 is what percent of 538 = 108.18

Question: 582 is what percent of 538?

Percentage solution with steps:

Step 1: We make the assumption that 538 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\%}={538}.

Step 4: In the same vein, {x\%}={582}.

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

{100\%}={538}(1).

{x\%}={582}(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{538}{582}

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

\frac{x\%}{100\%}=\frac{582}{538}

\Rightarrow{x} = {108.18\%}

Therefore, {582} is {108.18\%} of {538}.

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