#### Solution for 37 is what percent of 312:

37:312*100 =

(37*100):312 =

3700:312 = 11.86

Now we have: 37 is what percent of 312 = 11.86

Question: 37 is what percent of 312?

Percentage solution with steps:

Step 1: We make the assumption that 312 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\%}={312}.

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

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

{100\%}={312}(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{312}{37}

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

\frac{x\%}{100\%}=\frac{37}{312}

\Rightarrow{x} = {11.86\%}

Therefore, {37} is {11.86\%} of {312}.

#### Solution for 312 is what percent of 37:

312:37*100 =

(312*100):37 =

31200:37 = 843.24

Now we have: 312 is what percent of 37 = 843.24

Question: 312 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\%}={312}.

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

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

{x\%}={312}(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}{312}

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

\frac{x\%}{100\%}=\frac{312}{37}

\Rightarrow{x} = {843.24\%}

Therefore, {312} is {843.24\%} of {37}.

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