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Solution for 350 is what percent of 800:

350:800*100 =

(350*100):800 =

35000:800 = 43.75

Now we have: 350 is what percent of 800 = 43.75

Question: 350 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\%}={350}.

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

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

{x\%}={350}(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}{350}

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

\frac{x\%}{100\%}=\frac{350}{800}

\Rightarrow{x} = {43.75\%}

Therefore, {350} is {43.75\%} of {800}.

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Solution for 800 is what percent of 350:

800:350*100 =

(800*100):350 =

80000:350 = 228.57

Now we have: 800 is what percent of 350 = 228.57

Question: 800 is what percent of 350?

Percentage solution with steps:

Step 1: We make the assumption that 350 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\%}={350}.

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

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

{100\%}={350}(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{350}{800}

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

\frac{x\%}{100\%}=\frac{800}{350}

\Rightarrow{x} = {228.57\%}

Therefore, {800} is {228.57\%} of {350}.