#### Solution for 511 is what percent of 850:

511:850*100 =

(511*100):850 =

51100:850 = 60.12

Now we have: 511 is what percent of 850 = 60.12

Question: 511 is what percent of 850?

Percentage solution with steps:

Step 1: We make the assumption that 850 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\%}={850}.

Step 4: In the same vein, {x\%}={511}.

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

{100\%}={850}(1).

{x\%}={511}(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{850}{511}

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

\frac{x\%}{100\%}=\frac{511}{850}

\Rightarrow{x} = {60.12\%}

Therefore, {511} is {60.12\%} of {850}.

#### Solution for 850 is what percent of 511:

850:511*100 =

(850*100):511 =

85000:511 = 166.34

Now we have: 850 is what percent of 511 = 166.34

Question: 850 is what percent of 511?

Percentage solution with steps:

Step 1: We make the assumption that 511 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\%}={511}.

Step 4: In the same vein, {x\%}={850}.

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

{100\%}={511}(1).

{x\%}={850}(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{511}{850}

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

\frac{x\%}{100\%}=\frac{850}{511}

\Rightarrow{x} = {166.34\%}

Therefore, {850} is {166.34\%} of {511}.

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