#### Solution for 66 is what percent of 586:

66:586*100 =

(66*100):586 =

6600:586 = 11.26

Now we have: 66 is what percent of 586 = 11.26

Question: 66 is what percent of 586?

Percentage solution with steps:

Step 1: We make the assumption that 586 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\%}={586}.

Step 4: In the same vein, {x\%}={66}.

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

{100\%}={586}(1).

{x\%}={66}(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{586}{66}

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

\frac{x\%}{100\%}=\frac{66}{586}

\Rightarrow{x} = {11.26\%}

Therefore, {66} is {11.26\%} of {586}.

#### Solution for 586 is what percent of 66:

586:66*100 =

(586*100):66 =

58600:66 = 887.88

Now we have: 586 is what percent of 66 = 887.88

Question: 586 is what percent of 66?

Percentage solution with steps:

Step 1: We make the assumption that 66 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\%}={66}.

Step 4: In the same vein, {x\%}={586}.

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

{100\%}={66}(1).

{x\%}={586}(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{66}{586}

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

\frac{x\%}{100\%}=\frac{586}{66}

\Rightarrow{x} = {887.88\%}

Therefore, {586} is {887.88\%} of {66}.

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