#### Solution for 18 is what percent of 1648:

18:1648*100 =

(18*100):1648 =

1800:1648 = 1.09

Now we have: 18 is what percent of 1648 = 1.09

Question: 18 is what percent of 1648?

Percentage solution with steps:

Step 1: We make the assumption that 1648 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\%}={1648}.

Step 4: In the same vein, {x\%}={18}.

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

{100\%}={1648}(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{1648}{18}

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

\frac{x\%}{100\%}=\frac{18}{1648}

\Rightarrow{x} = {1.09\%}

Therefore, {18} is {1.09\%} of {1648}.

#### Solution for 1648 is what percent of 18:

1648:18*100 =

(1648*100):18 =

164800:18 = 9155.56

Now we have: 1648 is what percent of 18 = 9155.56

Question: 1648 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\%}={1648}.

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

{100\%}={18}(1).

{x\%}={1648}(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}{1648}

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

\frac{x\%}{100\%}=\frac{1648}{18}

\Rightarrow{x} = {9155.56\%}

Therefore, {1648} is {9155.56\%} of {18}.

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