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Solution for 355 is what percent of 8400:

355:8400*100 =

(355*100):8400 =

35500:8400 = 4.23

Now we have: 355 is what percent of 8400 = 4.23

Question: 355 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\%}={355}.

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

{100\%}={8400}(1).

{x\%}={355}(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}{355}

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

\frac{x\%}{100\%}=\frac{355}{8400}

\Rightarrow{x} = {4.23\%}

Therefore, {355} is {4.23\%} of {8400}.

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Solution for 8400 is what percent of 355:

8400:355*100 =

(8400*100):355 =

840000:355 = 2366.2

Now we have: 8400 is what percent of 355 = 2366.2

Question: 8400 is what percent of 355?

Percentage solution with steps:

Step 1: We make the assumption that 355 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\%}={355}.

Step 4: In the same vein, {x\%}={8400}.

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

{100\%}={355}(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{355}{8400}

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

\frac{x\%}{100\%}=\frac{8400}{355}

\Rightarrow{x} = {2366.2\%}

Therefore, {8400} is {2366.2\%} of {355}.