#### Solution for 46 is what percent of 80:

46:80*100 =

( 46*100):80 =

4600:80 = 57.5

Now we have: 46 is what percent of 80 = 57.5

Question: 46 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\%}={ 46}.

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

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

{x\%}={ 46}(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}{ 46}

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

\frac{x\%}{100\%}=\frac{ 46}{80}

\Rightarrow{x} = {57.5\%}

Therefore, { 46} is {57.5\%} of {80}.

#### Solution for 80 is what percent of 46:

80: 46*100 =

(80*100): 46 =

8000: 46 = 173.91

Now we have: 80 is what percent of 46 = 173.91

Question: 80 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={ 46}.

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

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

{100\%}={ 46}(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{ 46}{80}

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

\frac{x\%}{100\%}=\frac{80}{ 46}

\Rightarrow{x} = {173.91\%}

Therefore, {80} is {173.91\%} of { 46}.

Calculation Samples