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Solution for 33.333 is what percent of 38:

33.333:38*100 =

(33.333*100):38 =

3333.3:38 = 87.718421052632

Now we have: 33.333 is what percent of 38 = 87.718421052632

Question: 33.333 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\%}={33.333}.

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

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

{x\%}={33.333}(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}{33.333}

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

\frac{x\%}{100\%}=\frac{33.333}{38}

\Rightarrow{x} = {87.718421052632\%}

Therefore, {33.333} is {87.718421052632\%} of {38}.

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Solution for 38 is what percent of 33.333:

38:33.333*100 =

(38*100):33.333 =

3800:33.333 = 114.0011400114

Now we have: 38 is what percent of 33.333 = 114.0011400114

Question: 38 is what percent of 33.333?

Percentage solution with steps:

Step 1: We make the assumption that 33.333 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\%}={33.333}.

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

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

{100\%}={33.333}(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{33.333}{38}

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

\frac{x\%}{100\%}=\frac{38}{33.333}

\Rightarrow{x} = {114.0011400114\%}

Therefore, {38} is {114.0011400114\%} of {33.333}.