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Solution for 38 is what percent of 360:

38:360*100 =

(38*100):360 =

3800:360 = 10.56

Now we have: 38 is what percent of 360 = 10.56

Question: 38 is what percent of 360?

Percentage solution with steps:

Step 1: We make the assumption that 360 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\%}={360}.

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

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

{100\%}={360}(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{360}{38}

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

\frac{x\%}{100\%}=\frac{38}{360}

\Rightarrow{x} = {10.56\%}

Therefore, {38} is {10.56\%} of {360}.

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Solution for 360 is what percent of 38:

360:38*100 =

(360*100):38 =

36000:38 = 947.37

Now we have: 360 is what percent of 38 = 947.37

Question: 360 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\%}={360}.

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

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

{x\%}={360}(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}{360}

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

\frac{x\%}{100\%}=\frac{360}{38}

\Rightarrow{x} = {947.37\%}

Therefore, {360} is {947.37\%} of {38}.