#### Solution for 402 is what percent of 1013:

402:1013*100 =

(402*100):1013 =

40200:1013 = 39.68

Now we have: 402 is what percent of 1013 = 39.68

Question: 402 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\%}={402}.

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

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

{x\%}={402}(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}{402}

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

\frac{x\%}{100\%}=\frac{402}{1013}

\Rightarrow{x} = {39.68\%}

Therefore, {402} is {39.68\%} of {1013}.

#### Solution for 1013 is what percent of 402:

1013:402*100 =

(1013*100):402 =

101300:402 = 251.99

Now we have: 1013 is what percent of 402 = 251.99

Question: 1013 is what percent of 402?

Percentage solution with steps:

Step 1: We make the assumption that 402 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\%}={402}.

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

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

{100\%}={402}(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{402}{1013}

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

\frac{x\%}{100\%}=\frac{1013}{402}

\Rightarrow{x} = {251.99\%}

Therefore, {1013} is {251.99\%} of {402}.

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