#### Solution for 18.4 is what percent of 249.75:

18.4:249.75*100 =

(18.4*100):249.75 =

1840:249.75 = 7.3673673673674

Now we have: 18.4 is what percent of 249.75 = 7.3673673673674

Question: 18.4 is what percent of 249.75?

Percentage solution with steps:

Step 1: We make the assumption that 249.75 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\%}={249.75}.

Step 4: In the same vein, {x\%}={18.4}.

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

{100\%}={249.75}(1).

{x\%}={18.4}(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{249.75}{18.4}

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

\frac{x\%}{100\%}=\frac{18.4}{249.75}

\Rightarrow{x} = {7.3673673673674\%}

Therefore, {18.4} is {7.3673673673674\%} of {249.75}.

#### Solution for 249.75 is what percent of 18.4:

249.75:18.4*100 =

(249.75*100):18.4 =

24975:18.4 = 1357.3369565217

Now we have: 249.75 is what percent of 18.4 = 1357.3369565217

Question: 249.75 is what percent of 18.4?

Percentage solution with steps:

Step 1: We make the assumption that 18.4 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\%}={18.4}.

Step 4: In the same vein, {x\%}={249.75}.

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

{100\%}={18.4}(1).

{x\%}={249.75}(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{18.4}{249.75}

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

\frac{x\%}{100\%}=\frac{249.75}{18.4}

\Rightarrow{x} = {1357.3369565217\%}

Therefore, {249.75} is {1357.3369565217\%} of {18.4}.

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