#### Solution for 58 is what percent of 80:

58:80*100 =

(58*100):80 =

5800:80 = 72.5

Now we have: 58 is what percent of 80 = 72.5

Question: 58 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\%}={58}.

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

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

{x\%}={58}(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}{58}

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

\frac{x\%}{100\%}=\frac{58}{80}

\Rightarrow{x} = {72.5\%}

Therefore, {58} is {72.5\%} of {80}.

#### Solution for 80 is what percent of 58:

80:58*100 =

(80*100):58 =

8000:58 = 137.93

Now we have: 80 is what percent of 58 = 137.93

Question: 80 is what percent of 58?

Percentage solution with steps:

Step 1: We make the assumption that 58 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\%}={58}.

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

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

{100\%}={58}(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{58}{80}

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

\frac{x\%}{100\%}=\frac{80}{58}

\Rightarrow{x} = {137.93\%}

Therefore, {80} is {137.93\%} of {58}.

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