#### Solution for 524 is what percent of 486:

524:486*100 =

(524*100):486 =

52400:486 = 107.82

Now we have: 524 is what percent of 486 = 107.82

Question: 524 is what percent of 486?

Percentage solution with steps:

Step 1: We make the assumption that 486 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\%}={486}.

Step 4: In the same vein, {x\%}={524}.

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

{100\%}={486}(1).

{x\%}={524}(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{486}{524}

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

\frac{x\%}{100\%}=\frac{524}{486}

\Rightarrow{x} = {107.82\%}

Therefore, {524} is {107.82\%} of {486}.

#### Solution for 486 is what percent of 524:

486:524*100 =

(486*100):524 =

48600:524 = 92.75

Now we have: 486 is what percent of 524 = 92.75

Question: 486 is what percent of 524?

Percentage solution with steps:

Step 1: We make the assumption that 524 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\%}={524}.

Step 4: In the same vein, {x\%}={486}.

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

{100\%}={524}(1).

{x\%}={486}(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{524}{486}

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

\frac{x\%}{100\%}=\frac{486}{524}

\Rightarrow{x} = {92.75\%}

Therefore, {486} is {92.75\%} of {524}.

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