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Solution for 200 is what percent of 840:

200:840*100 =

(200*100):840 =

20000:840 = 23.81

Now we have: 200 is what percent of 840 = 23.81

Question: 200 is what percent of 840?

Percentage solution with steps:

Step 1: We make the assumption that 840 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\%}={840}.

Step 4: In the same vein, {x\%}={200}.

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

{100\%}={840}(1).

{x\%}={200}(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{840}{200}

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

\frac{x\%}{100\%}=\frac{200}{840}

\Rightarrow{x} = {23.81\%}

Therefore, {200} is {23.81\%} of {840}.

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Solution for 840 is what percent of 200:

840:200*100 =

(840*100):200 =

84000:200 = 420

Now we have: 840 is what percent of 200 = 420

Question: 840 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 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\%}={200}.

Step 4: In the same vein, {x\%}={840}.

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

{100\%}={200}(1).

{x\%}={840}(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{200}{840}

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

\frac{x\%}{100\%}=\frac{840}{200}

\Rightarrow{x} = {420\%}

Therefore, {840} is {420\%} of {200}.