#### Solution for 430 is what percent of 800:

430: 800*100 =

(430*100): 800 =

43000: 800 = 53.75

Now we have: 430 is what percent of 800 = 53.75

Question: 430 is what percent of 800?

Percentage solution with steps:

Step 1: We make the assumption that 800 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\%}={ 800}.

Step 4: In the same vein, {x\%}={430}.

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

{100\%}={ 800}(1).

{x\%}={430}(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{ 800}{430}

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

\frac{x\%}{100\%}=\frac{430}{ 800}

\Rightarrow{x} = {53.75\%}

Therefore, {430} is {53.75\%} of { 800}.

#### Solution for 800 is what percent of 430:

800:430*100 =

( 800*100):430 =

80000:430 = 186.05

Now we have: 800 is what percent of 430 = 186.05

Question: 800 is what percent of 430?

Percentage solution with steps:

Step 1: We make the assumption that 430 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\%}={430}.

Step 4: In the same vein, {x\%}={ 800}.

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

{100\%}={430}(1).

{x\%}={ 800}(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{430}{ 800}

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

\frac{x\%}{100\%}=\frac{ 800}{430}

\Rightarrow{x} = {186.05\%}

Therefore, { 800} is {186.05\%} of {430}.

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