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Solution for 103 is what percent of 37:

103:37*100 =

(103*100):37 =

10300:37 = 278.38

Now we have: 103 is what percent of 37 = 278.38

Question: 103 is what percent of 37?

Percentage solution with steps:

Step 1: We make the assumption that 37 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\%}={37}.

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

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

{100\%}={37}(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{37}{103}

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

\frac{x\%}{100\%}=\frac{103}{37}

\Rightarrow{x} = {278.38\%}

Therefore, {103} is {278.38\%} of {37}.

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Solution for 37 is what percent of 103:

37:103*100 =

(37*100):103 =

3700:103 = 35.92

Now we have: 37 is what percent of 103 = 35.92

Question: 37 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\%}={37}.

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

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

{x\%}={37}(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}{37}

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

\frac{x\%}{100\%}=\frac{37}{103}

\Rightarrow{x} = {35.92\%}

Therefore, {37} is {35.92\%} of {103}.