#### Solution for 400 is what percent of 18:

400:18*100 =

(400*100):18 =

40000:18 = 2222.22

Now we have: 400 is what percent of 18 = 2222.22

Question: 400 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\%}={400}.

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

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

{x\%}={400}(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}{400}

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

\frac{x\%}{100\%}=\frac{400}{18}

\Rightarrow{x} = {2222.22\%}

Therefore, {400} is {2222.22\%} of {18}.

#### Solution for 18 is what percent of 400:

18:400*100 =

(18*100):400 =

1800:400 = 4.5

Now we have: 18 is what percent of 400 = 4.5

Question: 18 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

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

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

{100\%}={400}(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{400}{18}

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

\frac{x\%}{100\%}=\frac{18}{400}

\Rightarrow{x} = {4.5\%}

Therefore, {18} is {4.5\%} of {400}.

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