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Solution for 170 is what percent of 200:

170: 200*100 =

(170*100): 200 =

17000: 200 = 85

Now we have: 170 is what percent of 200 = 85

Question: 170 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={ 200}.

Step 4: In the same vein, {x\%}={170}.

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

{100\%}={ 200}(1).

{x\%}={170}(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{ 200}{170}

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

\frac{x\%}{100\%}=\frac{170}{ 200}

\Rightarrow{x} = {85\%}

Therefore, {170} is {85\%} of { 200}.

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Solution for 200 is what percent of 170:

200:170*100 =

( 200*100):170 =

20000:170 = 117.65

Now we have: 200 is what percent of 170 = 117.65

Question: 200 is what percent of 170?

Percentage solution with steps:

Step 1: We make the assumption that 170 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\%}={170}.

Step 4: In the same vein, {x\%}={ 200}.

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

{100\%}={170}(1).

{x\%}={ 200}(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{170}{ 200}

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

\frac{x\%}{100\%}=\frac{ 200}{170}

\Rightarrow{x} = {117.65\%}

Therefore, { 200} is {117.65\%} of {170}.