#### Solution for .538 is what percent of 3.5:

.538:3.5*100 =

(.538*100):3.5 =

53.8:3.5 = 15.371428571429

Now we have: .538 is what percent of 3.5 = 15.371428571429

Question: .538 is what percent of 3.5?

Percentage solution with steps:

Step 1: We make the assumption that 3.5 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\%}={3.5}.

Step 4: In the same vein, {x\%}={.538}.

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

{100\%}={3.5}(1).

{x\%}={.538}(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{3.5}{.538}

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

\frac{x\%}{100\%}=\frac{.538}{3.5}

\Rightarrow{x} = {15.371428571429\%}

Therefore, {.538} is {15.371428571429\%} of {3.5}.

#### Solution for 3.5 is what percent of .538:

3.5:.538*100 =

(3.5*100):.538 =

350:.538 = 650.55762081784

Now we have: 3.5 is what percent of .538 = 650.55762081784

Question: 3.5 is what percent of .538?

Percentage solution with steps:

Step 1: We make the assumption that .538 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\%}={.538}.

Step 4: In the same vein, {x\%}={3.5}.

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

{100\%}={.538}(1).

{x\%}={3.5}(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{.538}{3.5}

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

\frac{x\%}{100\%}=\frac{3.5}{.538}

\Rightarrow{x} = {650.55762081784\%}

Therefore, {3.5} is {650.55762081784\%} of {.538}.

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