#### Solution for 405 is what percent of 100:

405:100*100 =

(405*100):100 =

40500:100 = 405

Now we have: 405 is what percent of 100 = 405

Question: 405 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\%}={405}.

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

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

{x\%}={405}(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}{405}

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

\frac{x\%}{100\%}=\frac{405}{100}

\Rightarrow{x} = {405\%}

Therefore, {405} is {405\%} of {100}.

#### Solution for 100 is what percent of 405:

100:405*100 =

(100*100):405 =

10000:405 = 24.69

Now we have: 100 is what percent of 405 = 24.69

Question: 100 is what percent of 405?

Percentage solution with steps:

Step 1: We make the assumption that 405 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\%}={405}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={405}(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{405}{100}

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

\frac{x\%}{100\%}=\frac{100}{405}

\Rightarrow{x} = {24.69\%}

Therefore, {100} is {24.69\%} of {405}.

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