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Solution for 1002 is what percent of 65:

1002:65*100 =

(1002*100):65 =

100200:65 = 1541.54

Now we have: 1002 is what percent of 65 = 1541.54

Question: 1002 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 65 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\%}={65}.

Step 4: In the same vein, {x\%}={1002}.

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

{100\%}={65}(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{65}{1002}

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

\frac{x\%}{100\%}=\frac{1002}{65}

\Rightarrow{x} = {1541.54\%}

Therefore, {1002} is {1541.54\%} of {65}.

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Solution for 65 is what percent of 1002:

65:1002*100 =

(65*100):1002 =

6500:1002 = 6.49

Now we have: 65 is what percent of 1002 = 6.49

Question: 65 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\%}={65}.

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

{100\%}={1002}(1).

{x\%}={65}(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}{65}

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

\frac{x\%}{100\%}=\frac{65}{1002}

\Rightarrow{x} = {6.49\%}

Therefore, {65} is {6.49\%} of {1002}.