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Solution for 38 is what percent of 86:

38:86*100 =

(38*100):86 =

3800:86 = 44.19

Now we have: 38 is what percent of 86 = 44.19

Question: 38 is what percent of 86?

Percentage solution with steps:

Step 1: We make the assumption that 86 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\%}={86}.

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

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

{100\%}={86}(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{86}{38}

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

\frac{x\%}{100\%}=\frac{38}{86}

\Rightarrow{x} = {44.19\%}

Therefore, {38} is {44.19\%} of {86}.

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Solution for 86 is what percent of 38:

86:38*100 =

(86*100):38 =

8600:38 = 226.32

Now we have: 86 is what percent of 38 = 226.32

Question: 86 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\%}={86}.

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

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

{x\%}={86}(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}{86}

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

\frac{x\%}{100\%}=\frac{86}{38}

\Rightarrow{x} = {226.32\%}

Therefore, {86} is {226.32\%} of {38}.