#### Solution for .33 is what percent of 4.15:

.33:4.15*100 =

(.33*100):4.15 =

33:4.15 = 7.9518072289157

Now we have: .33 is what percent of 4.15 = 7.9518072289157

Question: .33 is what percent of 4.15?

Percentage solution with steps:

Step 1: We make the assumption that 4.15 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\%}={4.15}.

Step 4: In the same vein, {x\%}={.33}.

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

{100\%}={4.15}(1).

{x\%}={.33}(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{4.15}{.33}

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

\frac{x\%}{100\%}=\frac{.33}{4.15}

\Rightarrow{x} = {7.9518072289157\%}

Therefore, {.33} is {7.9518072289157\%} of {4.15}.

#### Solution for 4.15 is what percent of .33:

4.15:.33*100 =

(4.15*100):.33 =

415:.33 = 1257.5757575758

Now we have: 4.15 is what percent of .33 = 1257.5757575758

Question: 4.15 is what percent of .33?

Percentage solution with steps:

Step 1: We make the assumption that .33 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\%}={.33}.

Step 4: In the same vein, {x\%}={4.15}.

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

{100\%}={.33}(1).

{x\%}={4.15}(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{.33}{4.15}

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

\frac{x\%}{100\%}=\frac{4.15}{.33}

\Rightarrow{x} = {1257.5757575758\%}

Therefore, {4.15} is {1257.5757575758\%} of {.33}.

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