#### Solution for 37 is what percent of 200:

37: 200*100 =

(37*100): 200 =

3700: 200 = 18.5

Now we have: 37 is what percent of 200 = 18.5

Question: 37 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={ 200}.

Step 4: In the same vein, {x\%}={37}.

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

{100\%}={ 200}(1).

{x\%}={37}(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{ 200}{37}

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

\frac{x\%}{100\%}=\frac{37}{ 200}

\Rightarrow{x} = {18.5\%}

Therefore, {37} is {18.5\%} of { 200}.

#### Solution for 200 is what percent of 37:

200:37*100 =

( 200*100):37 =

20000:37 = 540.54

Now we have: 200 is what percent of 37 = 540.54

Question: 200 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

Step 4: In the same vein, {x\%}={ 200}.

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

{100\%}={37}(1).

{x\%}={ 200}(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{37}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{37}

\Rightarrow{x} = {540.54\%}

Therefore, { 200} is {540.54\%} of {37}.

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