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Solution for 71 is what percent of 78:

71:78*100 =

(71*100):78 =

7100:78 = 91.03

Now we have: 71 is what percent of 78 = 91.03

Question: 71 is what percent of 78?

Percentage solution with steps:

Step 1: We make the assumption that 78 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\%}={78}.

Step 4: In the same vein, {x\%}={71}.

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

{100\%}={78}(1).

{x\%}={71}(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{78}{71}

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

\frac{x\%}{100\%}=\frac{71}{78}

\Rightarrow{x} = {91.03\%}

Therefore, {71} is {91.03\%} of {78}.

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Solution for 78 is what percent of 71:

78:71*100 =

(78*100):71 =

7800:71 = 109.86

Now we have: 78 is what percent of 71 = 109.86

Question: 78 is what percent of 71?

Percentage solution with steps:

Step 1: We make the assumption that 71 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\%}={71}.

Step 4: In the same vein, {x\%}={78}.

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

{100\%}={71}(1).

{x\%}={78}(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{71}{78}

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

\frac{x\%}{100\%}=\frac{78}{71}

\Rightarrow{x} = {109.86\%}

Therefore, {78} is {109.86\%} of {71}.