#### Solution for 72 is what percent of 114:

72:114*100 =

(72*100):114 =

7200:114 = 63.16

Now we have: 72 is what percent of 114 = 63.16

Question: 72 is what percent of 114?

Percentage solution with steps:

Step 1: We make the assumption that 114 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\%}={114}.

Step 4: In the same vein, {x\%}={72}.

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

{100\%}={114}(1).

{x\%}={72}(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{114}{72}

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

\frac{x\%}{100\%}=\frac{72}{114}

\Rightarrow{x} = {63.16\%}

Therefore, {72} is {63.16\%} of {114}.

#### Solution for 114 is what percent of 72:

114:72*100 =

(114*100):72 =

11400:72 = 158.33

Now we have: 114 is what percent of 72 = 158.33

Question: 114 is what percent of 72?

Percentage solution with steps:

Step 1: We make the assumption that 72 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\%}={72}.

Step 4: In the same vein, {x\%}={114}.

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

{100\%}={72}(1).

{x\%}={114}(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{72}{114}

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

\frac{x\%}{100\%}=\frac{114}{72}

\Rightarrow{x} = {158.33\%}

Therefore, {114} is {158.33\%} of {72}.

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