#### Solution for 15.08 is what percent of 75.4:

15.08:75.4*100 =

(15.08*100):75.4 =

1508:75.4 = 20

Now we have: 15.08 is what percent of 75.4 = 20

Question: 15.08 is what percent of 75.4?

Percentage solution with steps:

Step 1: We make the assumption that 75.4 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\%}={75.4}.

Step 4: In the same vein, {x\%}={15.08}.

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

{100\%}={75.4}(1).

{x\%}={15.08}(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{75.4}{15.08}

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

\frac{x\%}{100\%}=\frac{15.08}{75.4}

\Rightarrow{x} = {20\%}

Therefore, {15.08} is {20\%} of {75.4}.

#### Solution for 75.4 is what percent of 15.08:

75.4:15.08*100 =

(75.4*100):15.08 =

7540:15.08 = 500

Now we have: 75.4 is what percent of 15.08 = 500

Question: 75.4 is what percent of 15.08?

Percentage solution with steps:

Step 1: We make the assumption that 15.08 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\%}={15.08}.

Step 4: In the same vein, {x\%}={75.4}.

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

{100\%}={15.08}(1).

{x\%}={75.4}(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{15.08}{75.4}

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

\frac{x\%}{100\%}=\frac{75.4}{15.08}

\Rightarrow{x} = {500\%}

Therefore, {75.4} is {500\%} of {15.08}.

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