#### Solution for 1400 is what percent of 8400:

1400:8400*100 =

(1400*100):8400 =

140000:8400 = 16.67

Now we have: 1400 is what percent of 8400 = 16.67

Question: 1400 is what percent of 8400?

Percentage solution with steps:

Step 1: We make the assumption that 8400 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\%}={8400}.

Step 4: In the same vein, {x\%}={1400}.

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

{100\%}={8400}(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{8400}{1400}

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

\frac{x\%}{100\%}=\frac{1400}{8400}

\Rightarrow{x} = {16.67\%}

Therefore, {1400} is {16.67\%} of {8400}.

#### Solution for 8400 is what percent of 1400:

8400:1400*100 =

(8400*100):1400 =

840000:1400 = 600

Now we have: 8400 is what percent of 1400 = 600

Question: 8400 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\%}={8400}.

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

{100\%}={1400}(1).

{x\%}={8400}(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}{8400}

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

\frac{x\%}{100\%}=\frac{8400}{1400}

\Rightarrow{x} = {600\%}

Therefore, {8400} is {600\%} of {1400}.

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