#### Solution for 152 is what percent of 338:

152:338*100 =

(152*100):338 =

15200:338 = 44.97

Now we have: 152 is what percent of 338 = 44.97

Question: 152 is what percent of 338?

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

Step 4: In the same vein, {x\%}={152}.

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

{100\%}={338}(1).

{x\%}={152}(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{338}{152}

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

\frac{x\%}{100\%}=\frac{152}{338}

\Rightarrow{x} = {44.97\%}

Therefore, {152} is {44.97\%} of {338}.

#### Solution for 338 is what percent of 152:

338:152*100 =

(338*100):152 =

33800:152 = 222.37

Now we have: 338 is what percent of 152 = 222.37

Question: 338 is what percent of 152?

Percentage solution with steps:

Step 1: We make the assumption that 152 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\%}={152}.

Step 4: In the same vein, {x\%}={338}.

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

{100\%}={152}(1).

{x\%}={338}(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{152}{338}

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

\frac{x\%}{100\%}=\frac{338}{152}

\Rightarrow{x} = {222.37\%}

Therefore, {338} is {222.37\%} of {152}.

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