#### Solution for 205 is what percent of 294:

205:294*100 =

(205*100):294 =

20500:294 = 69.73

Now we have: 205 is what percent of 294 = 69.73

Question: 205 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\%}={205}.

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

{100\%}={294}(1).

{x\%}={205}(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}{205}

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

\frac{x\%}{100\%}=\frac{205}{294}

\Rightarrow{x} = {69.73\%}

Therefore, {205} is {69.73\%} of {294}.

#### Solution for 294 is what percent of 205:

294:205*100 =

(294*100):205 =

29400:205 = 143.41

Now we have: 294 is what percent of 205 = 143.41

Question: 294 is what percent of 205?

Percentage solution with steps:

Step 1: We make the assumption that 205 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\%}={205}.

Step 4: In the same vein, {x\%}={294}.

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

{100\%}={205}(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{205}{294}

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

\frac{x\%}{100\%}=\frac{294}{205}

\Rightarrow{x} = {143.41\%}

Therefore, {294} is {143.41\%} of {205}.

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