#### Solution for 153 is what percent of 748:

153:748*100 =

(153*100):748 =

15300:748 = 20.45

Now we have: 153 is what percent of 748 = 20.45

Question: 153 is what percent of 748?

Percentage solution with steps:

Step 1: We make the assumption that 748 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\%}={748}.

Step 4: In the same vein, {x\%}={153}.

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

{100\%}={748}(1).

{x\%}={153}(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{748}{153}

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

\frac{x\%}{100\%}=\frac{153}{748}

\Rightarrow{x} = {20.45\%}

Therefore, {153} is {20.45\%} of {748}.

#### Solution for 748 is what percent of 153:

748:153*100 =

(748*100):153 =

74800:153 = 488.89

Now we have: 748 is what percent of 153 = 488.89

Question: 748 is what percent of 153?

Percentage solution with steps:

Step 1: We make the assumption that 153 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\%}={153}.

Step 4: In the same vein, {x\%}={748}.

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

{100\%}={153}(1).

{x\%}={748}(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{153}{748}

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

\frac{x\%}{100\%}=\frac{748}{153}

\Rightarrow{x} = {488.89\%}

Therefore, {748} is {488.89\%} of {153}.

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