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Solution for 38 is what percent of 80:

38:80*100 =

(38*100):80 =

3800:80 = 47.5

Now we have: 38 is what percent of 80 = 47.5

Question: 38 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\%}={38}.

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

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

{x\%}={38}(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}{38}

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

\frac{x\%}{100\%}=\frac{38}{80}

\Rightarrow{x} = {47.5\%}

Therefore, {38} is {47.5\%} of {80}.

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Solution for 80 is what percent of 38:

80:38*100 =

(80*100):38 =

8000:38 = 210.53

Now we have: 80 is what percent of 38 = 210.53

Question: 80 is what percent of 38?

Percentage solution with steps:

Step 1: We make the assumption that 38 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\%}={38}.

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

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

{100\%}={38}(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{38}{80}

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

\frac{x\%}{100\%}=\frac{80}{38}

\Rightarrow{x} = {210.53\%}

Therefore, {80} is {210.53\%} of {38}.