Solution for 200 is what percent of 1400:

200:1400*100 =

(200*100):1400 =

20000:1400 = 14.29

Now we have: 200 is what percent of 1400 = 14.29

Question: 200 is what percent of 1400?

Percentage solution with steps:

Step 1: We make the assumption that 1400 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\%}={1400}.

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

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

{100\%}={1400}(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{1400}{200}

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

\frac{x\%}{100\%}=\frac{200}{1400}

\Rightarrow{x} = {14.29\%}

Therefore, {200} is {14.29\%} of {1400}.

Solution for 1400 is what percent of 200:

1400:200*100 =

(1400*100):200 =

140000:200 = 700

Now we have: 1400 is what percent of 200 = 700

Question: 1400 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\%}={1400}.

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

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

{x\%}={1400}(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}{1400}

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

\frac{x\%}{100\%}=\frac{1400}{200}

\Rightarrow{x} = {700\%}

Therefore, {1400} is {700\%} of {200}.

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