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Solution for 100 is what percent of 205:

100:205*100 =

(100*100):205 =

10000:205 = 48.78

Now we have: 100 is what percent of 205 = 48.78

Question: 100 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\%}={100}.

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

{100\%}={205}(1).

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {48.78\%}

Therefore, {100} is {48.78\%} of {205}.

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Solution for 205 is what percent of 100:

205:100*100 =

(205*100):100 =

20500:100 = 205

Now we have: 205 is what percent of 100 = 205

Question: 205 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={205}.

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

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

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

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

\Rightarrow{x} = {205\%}

Therefore, {205} is {205\%} of {100}.