#### Solution for 170.55 is what percent of 200:

170.55:200*100 =

(170.55*100):200 =

17055:200 = 85.275

Now we have: 170.55 is what percent of 200 = 85.275

Question: 170.55 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\%}={170.55}.

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

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

{x\%}={170.55}(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}{170.55}

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

\frac{x\%}{100\%}=\frac{170.55}{200}

\Rightarrow{x} = {85.275\%}

Therefore, {170.55} is {85.275\%} of {200}.

#### Solution for 200 is what percent of 170.55:

200:170.55*100 =

(200*100):170.55 =

20000:170.55 = 117.26766344181

Now we have: 200 is what percent of 170.55 = 117.26766344181

Question: 200 is what percent of 170.55?

Percentage solution with steps:

Step 1: We make the assumption that 170.55 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\%}={170.55}.

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

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

{100\%}={170.55}(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{170.55}{200}

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

\frac{x\%}{100\%}=\frac{200}{170.55}

\Rightarrow{x} = {117.26766344181\%}

Therefore, {200} is {117.26766344181\%} of {170.55}.

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