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Solution for 103 is what percent of 40:

103:40*100 =

(103*100):40 =

10300:40 = 257.5

Now we have: 103 is what percent of 40 = 257.5

Question: 103 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={103}.

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

{100\%}={40}(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{40}{103}

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

\frac{x\%}{100\%}=\frac{103}{40}

\Rightarrow{x} = {257.5\%}

Therefore, {103} is {257.5\%} of {40}.

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Solution for 40 is what percent of 103:

40:103*100 =

(40*100):103 =

4000:103 = 38.83

Now we have: 40 is what percent of 103 = 38.83

Question: 40 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\%}={40}.

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

{100\%}={103}(1).

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{103}

\Rightarrow{x} = {38.83\%}

Therefore, {40} is {38.83\%} of {103}.