#### Solution for 80 is what percent of 67:

80:67*100 =

(80*100):67 =

8000:67 = 119.4

Now we have: 80 is what percent of 67 = 119.4

Question: 80 is what percent of 67?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={67}.

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

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

{100\%}={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{67}{80}

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

\frac{x\%}{100\%}=\frac{80}{67}

\Rightarrow{x} = {119.4\%}

Therefore, {80} is {119.4\%} of {67}.

#### Solution for 67 is what percent of 80:

67:80*100 =

(67*100):80 =

6700:80 = 83.75

Now we have: 67 is what percent of 80 = 83.75

Question: 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\%}={67}.

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

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

{x\%}={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}{67}

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

\frac{x\%}{100\%}=\frac{67}{80}

\Rightarrow{x} = {83.75\%}

Therefore, {67} is {83.75\%} of {80}.

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