#### Solution for 247 is what percent of 402:

247:402*100 =

(247*100):402 =

24700:402 = 61.44

Now we have: 247 is what percent of 402 = 61.44

Question: 247 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\%}={247}.

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

{100\%}={402}(1).

{x\%}={247}(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}{247}

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

\frac{x\%}{100\%}=\frac{247}{402}

\Rightarrow{x} = {61.44\%}

Therefore, {247} is {61.44\%} of {402}.

#### Solution for 402 is what percent of 247:

402:247*100 =

(402*100):247 =

40200:247 = 162.75

Now we have: 402 is what percent of 247 = 162.75

Question: 402 is what percent of 247?

Percentage solution with steps:

Step 1: We make the assumption that 247 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\%}={247}.

Step 4: In the same vein, {x\%}={402}.

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

{100\%}={247}(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{247}{402}

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

\frac{x\%}{100\%}=\frac{402}{247}

\Rightarrow{x} = {162.75\%}

Therefore, {402} is {162.75\%} of {247}.

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