#### Solution for 63 is what percent of 182:

63:182*100 =

(63*100):182 =

6300:182 = 34.62

Now we have: 63 is what percent of 182 = 34.62

Question: 63 is what percent of 182?

Percentage solution with steps:

Step 1: We make the assumption that 182 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\%}={182}.

Step 4: In the same vein, {x\%}={63}.

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

{100\%}={182}(1).

{x\%}={63}(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{182}{63}

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

\frac{x\%}{100\%}=\frac{63}{182}

\Rightarrow{x} = {34.62\%}

Therefore, {63} is {34.62\%} of {182}.

#### Solution for 182 is what percent of 63:

182:63*100 =

(182*100):63 =

18200:63 = 288.89

Now we have: 182 is what percent of 63 = 288.89

Question: 182 is what percent of 63?

Percentage solution with steps:

Step 1: We make the assumption that 63 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\%}={63}.

Step 4: In the same vein, {x\%}={182}.

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

{100\%}={63}(1).

{x\%}={182}(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{63}{182}

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

\frac{x\%}{100\%}=\frac{182}{63}

\Rightarrow{x} = {288.89\%}

Therefore, {182} is {288.89\%} of {63}.

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