#### Solution for 745 is what percent of 850:

745:850*100 =

(745*100):850 =

74500:850 = 87.65

Now we have: 745 is what percent of 850 = 87.65

Question: 745 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\%}={745}.

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

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

{x\%}={745}(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}{745}

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

\frac{x\%}{100\%}=\frac{745}{850}

\Rightarrow{x} = {87.65\%}

Therefore, {745} is {87.65\%} of {850}.

#### Solution for 850 is what percent of 745:

850:745*100 =

(850*100):745 =

85000:745 = 114.09

Now we have: 850 is what percent of 745 = 114.09

Question: 850 is what percent of 745?

Percentage solution with steps:

Step 1: We make the assumption that 745 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\%}={745}.

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

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

{100\%}={745}(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{745}{850}

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

\frac{x\%}{100\%}=\frac{850}{745}

\Rightarrow{x} = {114.09\%}

Therefore, {850} is {114.09\%} of {745}.

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