#### Solution for 493 is what percent of 1013:

493:1013*100 =

(493*100):1013 =

49300:1013 = 48.67

Now we have: 493 is what percent of 1013 = 48.67

Question: 493 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\%}={493}.

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

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

{x\%}={493}(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}{493}

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

\frac{x\%}{100\%}=\frac{493}{1013}

\Rightarrow{x} = {48.67\%}

Therefore, {493} is {48.67\%} of {1013}.

#### Solution for 1013 is what percent of 493:

1013:493*100 =

(1013*100):493 =

101300:493 = 205.48

Now we have: 1013 is what percent of 493 = 205.48

Question: 1013 is what percent of 493?

Percentage solution with steps:

Step 1: We make the assumption that 493 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\%}={493}.

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

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

{100\%}={493}(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{493}{1013}

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

\frac{x\%}{100\%}=\frac{1013}{493}

\Rightarrow{x} = {205.48\%}

Therefore, {1013} is {205.48\%} of {493}.

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