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Solution for 31.55 is what percent of 38:

31.55:38*100 =

(31.55*100):38 =

3155:38 = 83.026315789474

Now we have: 31.55 is what percent of 38 = 83.026315789474

Question: 31.55 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\%}={31.55}.

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

{100\%}={38}(1).

{x\%}={31.55}(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{38}{31.55}

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

\frac{x\%}{100\%}=\frac{31.55}{38}

\Rightarrow{x} = {83.026315789474\%}

Therefore, {31.55} is {83.026315789474\%} of {38}.

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• 31.55 is what percent of 38 = 83.03
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• 31.55 is what percent of 100 = 31.55

Solution for 38 is what percent of 31.55:

38:31.55*100 =

(38*100):31.55 =

3800:31.55 = 120.44374009509

Now we have: 38 is what percent of 31.55 = 120.44374009509

Question: 38 is what percent of 31.55?

Percentage solution with steps:

Step 1: We make the assumption that 31.55 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\%}={31.55}.

Step 4: In the same vein, {x\%}={38}.

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

{100\%}={31.55}(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{31.55}{38}

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

\frac{x\%}{100\%}=\frac{38}{31.55}

\Rightarrow{x} = {120.44374009509\%}

Therefore, {38} is {120.44374009509\%} of {31.55}.