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Solution for 1001 is what percent of 85:

1001:85*100 =

(1001*100):85 =

100100:85 = 1177.65

Now we have: 1001 is what percent of 85 = 1177.65

Question: 1001 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={1001}.

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

{100\%}={85}(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{85}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{85}

\Rightarrow{x} = {1177.65\%}

Therefore, {1001} is {1177.65\%} of {85}.

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Solution for 85 is what percent of 1001:

85:1001*100 =

(85*100):1001 =

8500:1001 = 8.49

Now we have: 85 is what percent of 1001 = 8.49

Question: 85 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\%}={85}.

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

{100\%}={1001}(1).

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{1001}

\Rightarrow{x} = {8.49\%}

Therefore, {85} is {8.49\%} of {1001}.