#### Solution for 1001 is what percent of 1285:

1001:1285*100 =

(1001*100):1285 =

100100:1285 = 77.9

Now we have: 1001 is what percent of 1285 = 77.9

Question: 1001 is what percent of 1285?

Percentage solution with steps:

Step 1: We make the assumption that 1285 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\%}={1285}.

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

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

{100\%}={1285}(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{1285}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{1285}

\Rightarrow{x} = {77.9\%}

Therefore, {1001} is {77.9\%} of {1285}.

#### Solution for 1285 is what percent of 1001:

1285:1001*100 =

(1285*100):1001 =

128500:1001 = 128.37

Now we have: 1285 is what percent of 1001 = 128.37

Question: 1285 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\%}={1285}.

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

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

{x\%}={1285}(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}{1285}

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

\frac{x\%}{100\%}=\frac{1285}{1001}

\Rightarrow{x} = {128.37\%}

Therefore, {1285} is {128.37\%} of {1001}.

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