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Solution for 116 is what percent of 38:

116:38*100 =

(116*100):38 =

11600:38 = 305.26

Now we have: 116 is what percent of 38 = 305.26

Question: 116 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\%}={116}.

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

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

{x\%}={116}(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}{116}

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

\frac{x\%}{100\%}=\frac{116}{38}

\Rightarrow{x} = {305.26\%}

Therefore, {116} is {305.26\%} of {38}.

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Solution for 38 is what percent of 116:

38:116*100 =

(38*100):116 =

3800:116 = 32.76

Now we have: 38 is what percent of 116 = 32.76

Question: 38 is what percent of 116?

Percentage solution with steps:

Step 1: We make the assumption that 116 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\%}={116}.

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

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

{100\%}={116}(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{116}{38}

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

\frac{x\%}{100\%}=\frac{38}{116}

\Rightarrow{x} = {32.76\%}

Therefore, {38} is {32.76\%} of {116}.