#### Solution for 476 is what percent of 500:

476:500*100 =

(476*100):500 =

47600:500 = 95.2

Now we have: 476 is what percent of 500 = 95.2

Question: 476 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

Step 4: In the same vein, {x\%}={476}.

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

{100\%}={500}(1).

{x\%}={476}(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{500}{476}

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

\frac{x\%}{100\%}=\frac{476}{500}

\Rightarrow{x} = {95.2\%}

Therefore, {476} is {95.2\%} of {500}.

#### Solution for 500 is what percent of 476:

500:476*100 =

(500*100):476 =

50000:476 = 105.04

Now we have: 500 is what percent of 476 = 105.04

Question: 500 is what percent of 476?

Percentage solution with steps:

Step 1: We make the assumption that 476 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\%}={476}.

Step 4: In the same vein, {x\%}={500}.

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

{100\%}={476}(1).

{x\%}={500}(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{476}{500}

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

\frac{x\%}{100\%}=\frac{500}{476}

\Rightarrow{x} = {105.04\%}

Therefore, {500} is {105.04\%} of {476}.

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