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Solution for 103 is what percent of 89:

103:89*100 =

( 103*100):89 =

10300:89 = 115.73

Now we have: 103 is what percent of 89 = 115.73

Question: 103 is what percent of 89?

Percentage solution with steps:

Step 1: We make the assumption that 89 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\%}={89}.

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

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

{100\%}={89}(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{89}{ 103}

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

\frac{x\%}{100\%}=\frac{ 103}{89}

\Rightarrow{x} = {115.73\%}

Therefore, { 103} is {115.73\%} of {89}.

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Solution for 89 is what percent of 103:

89: 103*100 =

(89*100): 103 =

8900: 103 = 86.41

Now we have: 89 is what percent of 103 = 86.41

Question: 89 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\%}={89}.

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

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

{x\%}={89}(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}{89}

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

\frac{x\%}{100\%}=\frac{89}{ 103}

\Rightarrow{x} = {86.41\%}

Therefore, {89} is {86.41\%} of { 103}.