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Solution for 38 is what percent of 160:

38:160*100 =

(38*100):160 =

3800:160 = 23.75

Now we have: 38 is what percent of 160 = 23.75

Question: 38 is what percent of 160?

Percentage solution with steps:

Step 1: We make the assumption that 160 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\%}={160}.

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

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

{100\%}={160}(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{160}{38}

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

\frac{x\%}{100\%}=\frac{38}{160}

\Rightarrow{x} = {23.75\%}

Therefore, {38} is {23.75\%} of {160}.

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Solution for 160 is what percent of 38:

160:38*100 =

(160*100):38 =

16000:38 = 421.05

Now we have: 160 is what percent of 38 = 421.05

Question: 160 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\%}={160}.

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

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

{x\%}={160}(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}{160}

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

\frac{x\%}{100\%}=\frac{160}{38}

\Rightarrow{x} = {421.05\%}

Therefore, {160} is {421.05\%} of {38}.