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Solution for 212.5 is what percent of 85:

212.5:85*100 =

(212.5*100):85 =

21250:85 = 250

Now we have: 212.5 is what percent of 85 = 250

Question: 212.5 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\%}={212.5}.

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

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

{x\%}={212.5}(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}{212.5}

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

\frac{x\%}{100\%}=\frac{212.5}{85}

\Rightarrow{x} = {250\%}

Therefore, {212.5} is {250\%} of {85}.

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• 212.5 is what percent of 100 = 212.5

Solution for 85 is what percent of 212.5:

85:212.5*100 =

(85*100):212.5 =

8500:212.5 = 40

Now we have: 85 is what percent of 212.5 = 40

Question: 85 is what percent of 212.5?

Percentage solution with steps:

Step 1: We make the assumption that 212.5 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\%}={212.5}.

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

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

{100\%}={212.5}(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{212.5}{85}

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

\frac{x\%}{100\%}=\frac{85}{212.5}

\Rightarrow{x} = {40\%}

Therefore, {85} is {40\%} of {212.5}.