Solution for 55 is what percent of 80:

55:80*100 =

(55*100):80 =

5500:80 = 68.75

Now we have: 55 is what percent of 80 = 68.75

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{80}

\Rightarrow{x} = {68.75\%}

Therefore, {55} is {68.75\%} of {80}.

Solution for 80 is what percent of 55:

80:55*100 =

(80*100):55 =

8000:55 = 145.45

Now we have: 80 is what percent of 55 = 145.45

Question: 80 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{80}

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

\frac{x\%}{100\%}=\frac{80}{55}

\Rightarrow{x} = {145.45\%}

Therefore, {80} is {145.45\%} of {55}.