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Solution for 103 is what percent of 33:

103:33*100 =

(103*100):33 =

10300:33 = 312.12

Now we have: 103 is what percent of 33 = 312.12

Question: 103 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\%}={103}.

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

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

{x\%}={103}(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}{103}

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

\frac{x\%}{100\%}=\frac{103}{33}

\Rightarrow{x} = {312.12\%}

Therefore, {103} is {312.12\%} of {33}.

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Solution for 33 is what percent of 103:

33:103*100 =

(33*100):103 =

3300:103 = 32.04

Now we have: 33 is what percent of 103 = 32.04

Question: 33 is what percent of 103?

Percentage solution with steps:

Step 1: We make the assumption that 103 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\%}={103}.

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

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

{100\%}={103}(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{103}{33}

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

\frac{x\%}{100\%}=\frac{33}{103}

\Rightarrow{x} = {32.04\%}

Therefore, {33} is {32.04\%} of {103}.