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Solution for 55.33 is what percent of 38:

55.33:38*100 =

(55.33*100):38 =

5533:38 = 145.60526315789

Now we have: 55.33 is what percent of 38 = 145.60526315789

Question: 55.33 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\%}={55.33}.

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

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

{x\%}={55.33}(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}{55.33}

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

\frac{x\%}{100\%}=\frac{55.33}{38}

\Rightarrow{x} = {145.60526315789\%}

Therefore, {55.33} is {145.60526315789\%} of {38}.

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• 55.33 is what percent of 100 = 55.33

Solution for 38 is what percent of 55.33:

38:55.33*100 =

(38*100):55.33 =

3800:55.33 = 68.678836074462

Now we have: 38 is what percent of 55.33 = 68.678836074462

Question: 38 is what percent of 55.33?

Percentage solution with steps:

Step 1: We make the assumption that 55.33 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\%}={55.33}.

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

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

{100\%}={55.33}(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{55.33}{38}

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

\frac{x\%}{100\%}=\frac{38}{55.33}

\Rightarrow{x} = {68.678836074462\%}

Therefore, {38} is {68.678836074462\%} of {55.33}.