#### Solution for 37 is what percent of 116:

37: 116*100 =

(37*100): 116 =

3700: 116 = 31.9

Now we have: 37 is what percent of 116 = 31.9

Question: 37 is what percent of 116?

Percentage solution with steps:

Step 1: We make the assumption that 116 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\%}={ 116}.

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

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

{100\%}={ 116}(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{ 116}{37}

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

\frac{x\%}{100\%}=\frac{37}{ 116}

\Rightarrow{x} = {31.9\%}

Therefore, {37} is {31.9\%} of { 116}.

#### Solution for 116 is what percent of 37:

116:37*100 =

( 116*100):37 =

11600:37 = 313.51

Now we have: 116 is what percent of 37 = 313.51

Question: 116 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\%}={ 116}.

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

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

{x\%}={ 116}(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}{ 116}

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

\frac{x\%}{100\%}=\frac{ 116}{37}

\Rightarrow{x} = {313.51\%}

Therefore, { 116} is {313.51\%} of {37}.

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