#### Solution for 11.40 is what percent of 38:

11.40:38*100 =

(11.40*100):38 =

1140:38 = 30

Now we have: 11.40 is what percent of 38 = 30

Question: 11.40 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

Step 4: In the same vein, {x\%}={11.40}.

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

{100\%}={38}(1).

{x\%}={11.40}(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{38}{11.40}

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

\frac{x\%}{100\%}=\frac{11.40}{38}

\Rightarrow{x} = {30\%}

Therefore, {11.40} is {30\%} of {38}.

#### Solution for 38 is what percent of 11.40:

38:11.40*100 =

(38*100):11.40 =

3800:11.40 = 333.33333333333

Now we have: 38 is what percent of 11.40 = 333.33333333333

Question: 38 is what percent of 11.40?

Percentage solution with steps:

Step 1: We make the assumption that 11.40 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\%}={11.40}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={11.40}(1).

{x\%}={38}(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{11.40}{38}

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

\frac{x\%}{100\%}=\frac{38}{11.40}

\Rightarrow{x} = {333.33333333333\%}

Therefore, {38} is {333.33333333333\%} of {11.40}.

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