#### Solution for 850 is what percent of 2200:

850:2200*100 =

(850*100):2200 =

85000:2200 = 38.64

Now we have: 850 is what percent of 2200 = 38.64

Question: 850 is what percent of 2200?

Percentage solution with steps:

Step 1: We make the assumption that 2200 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\%}={2200}.

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

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

{100\%}={2200}(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{2200}{850}

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

\frac{x\%}{100\%}=\frac{850}{2200}

\Rightarrow{x} = {38.64\%}

Therefore, {850} is {38.64\%} of {2200}.

#### Solution for 2200 is what percent of 850:

2200:850*100 =

(2200*100):850 =

220000:850 = 258.82

Now we have: 2200 is what percent of 850 = 258.82

Question: 2200 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\%}={2200}.

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

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

{x\%}={2200}(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}{2200}

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

\frac{x\%}{100\%}=\frac{2200}{850}

\Rightarrow{x} = {258.82\%}

Therefore, {2200} is {258.82\%} of {850}.

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