#### Solution for 3.7 is what percent of 6.6:

3.7:6.6*100 =

(3.7*100):6.6 =

370:6.6 = 56.060606060606

Now we have: 3.7 is what percent of 6.6 = 56.060606060606

Question: 3.7 is what percent of 6.6?

Percentage solution with steps:

Step 1: We make the assumption that 6.6 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\%}={6.6}.

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

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

{100\%}={6.6}(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{6.6}{3.7}

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

\frac{x\%}{100\%}=\frac{3.7}{6.6}

\Rightarrow{x} = {56.060606060606\%}

Therefore, {3.7} is {56.060606060606\%} of {6.6}.

#### Solution for 6.6 is what percent of 3.7:

6.6:3.7*100 =

(6.6*100):3.7 =

660:3.7 = 178.37837837838

Now we have: 6.6 is what percent of 3.7 = 178.37837837838

Question: 6.6 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\%}={6.6}.

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

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

{x\%}={6.6}(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}{6.6}

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

\frac{x\%}{100\%}=\frac{6.6}{3.7}

\Rightarrow{x} = {178.37837837838\%}

Therefore, {6.6} is {178.37837837838\%} of {3.7}.

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