#### Solution for 294 is what percent of 200:

294:200*100 =

(294*100):200 =

29400:200 = 147

Now we have: 294 is what percent of 200 = 147

Question: 294 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\%}={294}.

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

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

{x\%}={294}(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}{294}

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

\frac{x\%}{100\%}=\frac{294}{200}

\Rightarrow{x} = {147\%}

Therefore, {294} is {147\%} of {200}.

#### Solution for 200 is what percent of 294:

200:294*100 =

(200*100):294 =

20000:294 = 68.03

Now we have: 200 is what percent of 294 = 68.03

Question: 200 is what percent of 294?

Percentage solution with steps:

Step 1: We make the assumption that 294 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\%}={294}.

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

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

{100\%}={294}(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{294}{200}

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

\frac{x\%}{100\%}=\frac{200}{294}

\Rightarrow{x} = {68.03\%}

Therefore, {200} is {68.03\%} of {294}.

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