#### Solution for 179 is what percent of 200:

179:200*100 =

(179*100):200 =

17900:200 = 89.5

Now we have: 179 is what percent of 200 = 89.5

Question: 179 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\%}={179}.

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

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

{x\%}={179}(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}{179}

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

\frac{x\%}{100\%}=\frac{179}{200}

\Rightarrow{x} = {89.5\%}

Therefore, {179} is {89.5\%} of {200}.

#### Solution for 200 is what percent of 179:

200:179*100 =

(200*100):179 =

20000:179 = 111.73

Now we have: 200 is what percent of 179 = 111.73

Question: 200 is what percent of 179?

Percentage solution with steps:

Step 1: We make the assumption that 179 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\%}={179}.

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

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

{100\%}={179}(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{179}{200}

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

\frac{x\%}{100\%}=\frac{200}{179}

\Rightarrow{x} = {111.73\%}

Therefore, {200} is {111.73\%} of {179}.

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