#### Solution for 364 is what percent of 428:

364:428*100 =

(364*100):428 =

36400:428 = 85.05

Now we have: 364 is what percent of 428 = 85.05

Question: 364 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\%}={364}.

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

{100\%}={428}(1).

{x\%}={364}(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}{364}

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

\frac{x\%}{100\%}=\frac{364}{428}

\Rightarrow{x} = {85.05\%}

Therefore, {364} is {85.05\%} of {428}.

#### Solution for 428 is what percent of 364:

428:364*100 =

(428*100):364 =

42800:364 = 117.58

Now we have: 428 is what percent of 364 = 117.58

Question: 428 is what percent of 364?

Percentage solution with steps:

Step 1: We make the assumption that 364 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\%}={364}.

Step 4: In the same vein, {x\%}={428}.

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

{100\%}={364}(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{364}{428}

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

\frac{x\%}{100\%}=\frac{428}{364}

\Rightarrow{x} = {117.58\%}

Therefore, {428} is {117.58\%} of {364}.

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