#### Solution for 648 is what percent of 1013:

648:1013*100 =

(648*100):1013 =

64800:1013 = 63.97

Now we have: 648 is what percent of 1013 = 63.97

Question: 648 is what percent of 1013?

Percentage solution with steps:

Step 1: We make the assumption that 1013 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\%}={1013}.

Step 4: In the same vein, {x\%}={648}.

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

{100\%}={1013}(1).

{x\%}={648}(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{1013}{648}

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

\frac{x\%}{100\%}=\frac{648}{1013}

\Rightarrow{x} = {63.97\%}

Therefore, {648} is {63.97\%} of {1013}.

#### Solution for 1013 is what percent of 648:

1013:648*100 =

(1013*100):648 =

101300:648 = 156.33

Now we have: 1013 is what percent of 648 = 156.33

Question: 1013 is what percent of 648?

Percentage solution with steps:

Step 1: We make the assumption that 648 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\%}={648}.

Step 4: In the same vein, {x\%}={1013}.

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

{100\%}={648}(1).

{x\%}={1013}(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{648}{1013}

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

\frac{x\%}{100\%}=\frac{1013}{648}

\Rightarrow{x} = {156.33\%}

Therefore, {1013} is {156.33\%} of {648}.

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