#### Solution for 3.7 is what percent of 33.2:

3.7:33.2*100 =

(3.7*100):33.2 =

370:33.2 = 11.144578313253

Now we have: 3.7 is what percent of 33.2 = 11.144578313253

Question: 3.7 is what percent of 33.2?

Percentage solution with steps:

Step 1: We make the assumption that 33.2 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\%}={33.2}.

Step 4: In the same vein, {x\%}={3.7}.

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

{100\%}={33.2}(1).

{x\%}={3.7}(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{33.2}{3.7}

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

\frac{x\%}{100\%}=\frac{3.7}{33.2}

\Rightarrow{x} = {11.144578313253\%}

Therefore, {3.7} is {11.144578313253\%} of {33.2}.

#### Solution for 33.2 is what percent of 3.7:

33.2:3.7*100 =

(33.2*100):3.7 =

3320:3.7 = 897.2972972973

Now we have: 33.2 is what percent of 3.7 = 897.2972972973

Question: 33.2 is what percent of 3.7?

Percentage solution with steps:

Step 1: We make the assumption that 3.7 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\%}={3.7}.

Step 4: In the same vein, {x\%}={33.2}.

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

{100\%}={3.7}(1).

{x\%}={33.2}(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{3.7}{33.2}

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

\frac{x\%}{100\%}=\frac{33.2}{3.7}

\Rightarrow{x} = {897.2972972973\%}

Therefore, {33.2} is {897.2972972973\%} of {3.7}.

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