#### Solution for 67.50 is what percent of 85:

67.50:85*100 =

(67.50*100):85 =

6750:85 = 79.411764705882

Now we have: 67.50 is what percent of 85 = 79.411764705882

Question: 67.50 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\%}={67.50}.

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

{100\%}={85}(1).

{x\%}={67.50}(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}{67.50}

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

\frac{x\%}{100\%}=\frac{67.50}{85}

\Rightarrow{x} = {79.411764705882\%}

Therefore, {67.50} is {79.411764705882\%} of {85}.

#### Solution for 85 is what percent of 67.50:

85:67.50*100 =

(85*100):67.50 =

8500:67.50 = 125.92592592593

Now we have: 85 is what percent of 67.50 = 125.92592592593

Question: 85 is what percent of 67.50?

Percentage solution with steps:

Step 1: We make the assumption that 67.50 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\%}={67.50}.

Step 4: In the same vein, {x\%}={85}.

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

{100\%}={67.50}(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{67.50}{85}

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

\frac{x\%}{100\%}=\frac{85}{67.50}

\Rightarrow{x} = {125.92592592593\%}

Therefore, {85} is {125.92592592593\%} of {67.50}.

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