#### Solution for 182 is what percent of 337:

182:337*100 =

(182*100):337 =

18200:337 = 54.01

Now we have: 182 is what percent of 337 = 54.01

Question: 182 is what percent of 337?

Percentage solution with steps:

Step 1: We make the assumption that 337 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\%}={337}.

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

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

{100\%}={337}(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{337}{182}

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

\frac{x\%}{100\%}=\frac{182}{337}

\Rightarrow{x} = {54.01\%}

Therefore, {182} is {54.01\%} of {337}.

#### Solution for 337 is what percent of 182:

337:182*100 =

(337*100):182 =

33700:182 = 185.16

Now we have: 337 is what percent of 182 = 185.16

Question: 337 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\%}={337}.

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

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

{x\%}={337}(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}{337}

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

\frac{x\%}{100\%}=\frac{337}{182}

\Rightarrow{x} = {185.16\%}

Therefore, {337} is {185.16\%} of {182}.

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