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Solution for 1002 is what percent of 77:

1002:77*100 =

(1002*100):77 =

100200:77 = 1301.3

Now we have: 1002 is what percent of 77 = 1301.3

Question: 1002 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\%}={1002}.

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

{100\%}={77}(1).

{x\%}={1002}(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}{1002}

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

\frac{x\%}{100\%}=\frac{1002}{77}

\Rightarrow{x} = {1301.3\%}

Therefore, {1002} is {1301.3\%} of {77}.

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Solution for 77 is what percent of 1002:

77:1002*100 =

(77*100):1002 =

7700:1002 = 7.68

Now we have: 77 is what percent of 1002 = 7.68

Question: 77 is what percent of 1002?

Percentage solution with steps:

Step 1: We make the assumption that 1002 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\%}={1002}.

Step 4: In the same vein, {x\%}={77}.

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

{100\%}={1002}(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{1002}{77}

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

\frac{x\%}{100\%}=\frac{77}{1002}

\Rightarrow{x} = {7.68\%}

Therefore, {77} is {7.68\%} of {1002}.