#### Solution for 100 is what percent of 428:

100:428*100 =

(100*100):428 =

10000:428 = 23.36

Now we have: 100 is what percent of 428 = 23.36

Question: 100 is what percent of 428?

Percentage solution with steps:

Step 1: We make the assumption that 428 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\%}={428}.

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

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

{100\%}={428}(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{428}{100}

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

\frac{x\%}{100\%}=\frac{100}{428}

\Rightarrow{x} = {23.36\%}

Therefore, {100} is {23.36\%} of {428}.

#### Solution for 428 is what percent of 100:

428:100*100 =

(428*100):100 =

42800:100 = 428

Now we have: 428 is what percent of 100 = 428

Question: 428 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\%}={428}.

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

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

{x\%}={428}(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}{428}

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

\frac{x\%}{100\%}=\frac{428}{100}

\Rightarrow{x} = {428\%}

Therefore, {428} is {428\%} of {100}.

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