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Solution for 1001 is what percent of 66:

1001:66*100 =

(1001*100):66 =

100100:66 = 1516.67

Now we have: 1001 is what percent of 66 = 1516.67

Question: 1001 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\%}={1001}.

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

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

{x\%}={1001}(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}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{66}

\Rightarrow{x} = {1516.67\%}

Therefore, {1001} is {1516.67\%} of {66}.

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Solution for 66 is what percent of 1001:

66:1001*100 =

(66*100):1001 =

6600:1001 = 6.59

Now we have: 66 is what percent of 1001 = 6.59

Question: 66 is what percent of 1001?

Percentage solution with steps:

Step 1: We make the assumption that 1001 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\%}={1001}.

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

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

{100\%}={1001}(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{1001}{66}

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

\frac{x\%}{100\%}=\frac{66}{1001}

\Rightarrow{x} = {6.59\%}

Therefore, {66} is {6.59\%} of {1001}.