#### Solution for 500 is what percent of 11:

500:11*100 =

(500*100):11 =

50000:11 = 4545.45

Now we have: 500 is what percent of 11 = 4545.45

Question: 500 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

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

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

{100\%}={11}(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{11}{500}

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

\frac{x\%}{100\%}=\frac{500}{11}

\Rightarrow{x} = {4545.45\%}

Therefore, {500} is {4545.45\%} of {11}.

#### Solution for 11 is what percent of 500:

11:500*100 =

(11*100):500 =

1100:500 = 2.2

Now we have: 11 is what percent of 500 = 2.2

Question: 11 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\%}={11}.

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

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

{x\%}={11}(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}{11}

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

\frac{x\%}{100\%}=\frac{11}{500}

\Rightarrow{x} = {2.2\%}

Therefore, {11} is {2.2\%} of {500}.

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