#### Solution for 18 is what percent of 64:

18:64*100 =

(18*100):64 =

1800:64 = 28.13

Now we have: 18 is what percent of 64 = 28.13

Question: 18 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\%}={18}.

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

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

{x\%}={18}(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}{18}

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

\frac{x\%}{100\%}=\frac{18}{64}

\Rightarrow{x} = {28.13\%}

Therefore, {18} is {28.13\%} of {64}.

#### Solution for 64 is what percent of 18:

64:18*100 =

(64*100):18 =

6400:18 = 355.56

Now we have: 64 is what percent of 18 = 355.56

Question: 64 is what percent of 18?

Percentage solution with steps:

Step 1: We make the assumption that 18 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\%}={18}.

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

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

{100\%}={18}(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{18}{64}

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

\frac{x\%}{100\%}=\frac{64}{18}

\Rightarrow{x} = {355.56\%}

Therefore, {64} is {355.56\%} of {18}.

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