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Solution for 72 is what percent of 85:

72:85*100 =

(72*100):85 =

7200:85 = 84.71

Now we have: 72 is what percent of 85 = 84.71

Question: 72 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

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

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

{100\%}={85}(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{85}{72}

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

\frac{x\%}{100\%}=\frac{72}{85}

\Rightarrow{x} = {84.71\%}

Therefore, {72} is {84.71\%} of {85}.

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Solution for 85 is what percent of 72:

85:72*100 =

(85*100):72 =

8500:72 = 118.06

Now we have: 85 is what percent of 72 = 118.06

Question: 85 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\%}={85}.

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

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

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{72}

\Rightarrow{x} = {118.06\%}

Therefore, {85} is {118.06\%} of {72}.