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Solution for 1001 is what percent of 77:

1001:77*100 =

(1001*100):77 =

100100:77 = 1300

Now we have: 1001 is what percent of 77 = 1300

Question: 1001 is what percent of 77?

Percentage solution with steps:

Step 1: We make the assumption that 77 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\%}={77}.

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

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

{100\%}={77}(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{77}{1001}

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

\frac{x\%}{100\%}=\frac{1001}{77}

\Rightarrow{x} = {1300\%}

Therefore, {1001} is {1300\%} of {77}.

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Solution for 77 is what percent of 1001:

77:1001*100 =

(77*100):1001 =

7700:1001 = 7.69

Now we have: 77 is what percent of 1001 = 7.69

Question: 77 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\%}={77}.

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

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

{x\%}={77}(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}{77}

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

\frac{x\%}{100\%}=\frac{77}{1001}

\Rightarrow{x} = {7.69\%}

Therefore, {77} is {7.69\%} of {1001}.