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Solution for 85 is what percent of 355:

85:355*100 =

(85*100):355 =

8500:355 = 23.94

Now we have: 85 is what percent of 355 = 23.94

Question: 85 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

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

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

{100\%}={355}(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{355}{85}

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

\frac{x\%}{100\%}=\frac{85}{355}

\Rightarrow{x} = {23.94\%}

Therefore, {85} is {23.94\%} of {355}.

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Solution for 355 is what percent of 85:

355:85*100 =

(355*100):85 =

35500:85 = 417.65

Now we have: 355 is what percent of 85 = 417.65

Question: 355 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\%}={355}.

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

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

{x\%}={355}(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}{355}

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

\frac{x\%}{100\%}=\frac{355}{85}

\Rightarrow{x} = {417.65\%}

Therefore, {355} is {417.65\%} of {85}.