#### Solution for .91 is what percent of 38:

.91:38*100 =

(.91*100):38 =

91:38 = 2.39

Now we have: .91 is what percent of 38 = 2.39

Question: .91 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\%}={.91}.

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

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

{x\%}={.91}(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}{.91}

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

\frac{x\%}{100\%}=\frac{.91}{38}

\Rightarrow{x} = {2.39\%}

Therefore, {.91} is {2.39\%} of {38}.

#### Solution for 38 is what percent of .91:

38:.91*100 =

(38*100):.91 =

3800:.91 = 4175.82

Now we have: 38 is what percent of .91 = 4175.82

Question: 38 is what percent of .91?

Percentage solution with steps:

Step 1: We make the assumption that .91 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\%}={.91}.

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

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

{100\%}={.91}(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{.91}{38}

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

\frac{x\%}{100\%}=\frac{38}{.91}

\Rightarrow{x} = {4175.82\%}

Therefore, {38} is {4175.82\%} of {.91}.

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