#### Solution for 36.7 is what percent of 64:

36.7:64*100 =

(36.7*100):64 =

3670:64 = 57.34375

Now we have: 36.7 is what percent of 64 = 57.34375

Question: 36.7 is what percent of 64?

Percentage solution with steps:

Step 1: We make the assumption that 64 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\%}={64}.

Step 4: In the same vein, {x\%}={36.7}.

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

{100\%}={64}(1).

{x\%}={36.7}(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{64}{36.7}

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

\frac{x\%}{100\%}=\frac{36.7}{64}

\Rightarrow{x} = {57.34375\%}

Therefore, {36.7} is {57.34375\%} of {64}.

#### Solution for 64 is what percent of 36.7:

64:36.7*100 =

(64*100):36.7 =

6400:36.7 = 174.38692098093

Now we have: 64 is what percent of 36.7 = 174.38692098093

Question: 64 is what percent of 36.7?

Percentage solution with steps:

Step 1: We make the assumption that 36.7 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\%}={36.7}.

Step 4: In the same vein, {x\%}={64}.

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

{100\%}={36.7}(1).

{x\%}={64}(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{36.7}{64}

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

\frac{x\%}{100\%}=\frac{64}{36.7}

\Rightarrow{x} = {174.38692098093\%}

Therefore, {64} is {174.38692098093\%} of {36.7}.

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