#### Solution for 75.67 is what percent of 80:

75.67:80*100 =

(75.67*100):80 =

7567:80 = 94.5875

Now we have: 75.67 is what percent of 80 = 94.5875

Question: 75.67 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 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\%}={80}.

Step 4: In the same vein, {x\%}={75.67}.

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

{100\%}={80}(1).

{x\%}={75.67}(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{80}{75.67}

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

\frac{x\%}{100\%}=\frac{75.67}{80}

\Rightarrow{x} = {94.5875\%}

Therefore, {75.67} is {94.5875\%} of {80}.

#### Solution for 80 is what percent of 75.67:

80:75.67*100 =

(80*100):75.67 =

8000:75.67 = 105.7222148804

Now we have: 80 is what percent of 75.67 = 105.7222148804

Question: 80 is what percent of 75.67?

Percentage solution with steps:

Step 1: We make the assumption that 75.67 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\%}={75.67}.

Step 4: In the same vein, {x\%}={80}.

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

{100\%}={75.67}(1).

{x\%}={80}(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{75.67}{80}

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

\frac{x\%}{100\%}=\frac{80}{75.67}

\Rightarrow{x} = {105.7222148804\%}

Therefore, {80} is {105.7222148804\%} of {75.67}.

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