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Solution for 113 is what percent of 72:

113:72*100 =

(113*100):72 =

11300:72 = 156.94

Now we have: 113 is what percent of 72 = 156.94

Question: 113 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\%}={113}.

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

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

{x\%}={113}(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}{113}

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

\frac{x\%}{100\%}=\frac{113}{72}

\Rightarrow{x} = {156.94\%}

Therefore, {113} is {156.94\%} of {72}.

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Solution for 72 is what percent of 113:

72:113*100 =

(72*100):113 =

7200:113 = 63.72

Now we have: 72 is what percent of 113 = 63.72

Question: 72 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

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

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

{100\%}={113}(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{113}{72}

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

\frac{x\%}{100\%}=\frac{72}{113}

\Rightarrow{x} = {63.72\%}

Therefore, {72} is {63.72\%} of {113}.