#### Solution for 60 is what percent of 80:

60:80*100 =

(60*100):80 =

6000:80 = 75

Now we have: 60 is what percent of 80 = 75

Question: 60 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\%}={60}.

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

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

{x\%}={60}(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}{60}

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

\frac{x\%}{100\%}=\frac{60}{80}

\Rightarrow{x} = {75\%}

Therefore, {60} is {75\%} of {80}.

#### Solution for 80 is what percent of 60:

80:60*100 =

(80*100):60 =

8000:60 = 133.33

Now we have: 80 is what percent of 60 = 133.33

Question: 80 is what percent of 60?

Percentage solution with steps:

Step 1: We make the assumption that 60 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\%}={60}.

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

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

{100\%}={60}(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{60}{80}

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

\frac{x\%}{100\%}=\frac{80}{60}

\Rightarrow{x} = {133.33\%}

Therefore, {80} is {133.33\%} of {60}.

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