#### Solution for 37 is what percent of 319:

37:319*100 =

(37*100):319 =

3700:319 = 11.6

Now we have: 37 is what percent of 319 = 11.6

Question: 37 is what percent of 319?

Percentage solution with steps:

Step 1: We make the assumption that 319 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\%}={319}.

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

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

{100\%}={319}(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{319}{37}

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

\frac{x\%}{100\%}=\frac{37}{319}

\Rightarrow{x} = {11.6\%}

Therefore, {37} is {11.6\%} of {319}.

#### Solution for 319 is what percent of 37:

319:37*100 =

(319*100):37 =

31900:37 = 862.16

Now we have: 319 is what percent of 37 = 862.16

Question: 319 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\%}={319}.

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

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

{x\%}={319}(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}{319}

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

\frac{x\%}{100\%}=\frac{319}{37}

\Rightarrow{x} = {862.16\%}

Therefore, {319} is {862.16\%} of {37}.

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