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Solution for 138.5 is what percent of 85:

138.5:85*100 =

(138.5*100):85 =

13850:85 = 162.94117647059

Now we have: 138.5 is what percent of 85 = 162.94117647059

Question: 138.5 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\%}={138.5}.

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

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

{x\%}={138.5}(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}{138.5}

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

\frac{x\%}{100\%}=\frac{138.5}{85}

\Rightarrow{x} = {162.94117647059\%}

Therefore, {138.5} is {162.94117647059\%} of {85}.

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• 138.5 is what percent of 100 = 138.5

Solution for 85 is what percent of 138.5:

85:138.5*100 =

(85*100):138.5 =

8500:138.5 = 61.371841155235

Now we have: 85 is what percent of 138.5 = 61.371841155235

Question: 85 is what percent of 138.5?

Percentage solution with steps:

Step 1: We make the assumption that 138.5 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\%}={138.5}.

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

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

{100\%}={138.5}(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{138.5}{85}

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

\frac{x\%}{100\%}=\frac{85}{138.5}

\Rightarrow{x} = {61.371841155235\%}

Therefore, {85} is {61.371841155235\%} of {138.5}.