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Solution for 55 is what percent of 8420:

55:8420*100 =

(55*100):8420 =

5500:8420 = 0.65

Now we have: 55 is what percent of 8420 = 0.65

Question: 55 is what percent of 8420?

Percentage solution with steps:

Step 1: We make the assumption that 8420 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\%}={8420}.

Step 4: In the same vein, {x\%}={55}.

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

{100\%}={8420}(1).

{x\%}={55}(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{8420}{55}

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

\frac{x\%}{100\%}=\frac{55}{8420}

\Rightarrow{x} = {0.65\%}

Therefore, {55} is {0.65\%} of {8420}.

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Solution for 8420 is what percent of 55:

8420:55*100 =

(8420*100):55 =

842000:55 = 15309.09

Now we have: 8420 is what percent of 55 = 15309.09

Question: 8420 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

Step 4: In the same vein, {x\%}={8420}.

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

{100\%}={55}(1).

{x\%}={8420}(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{55}{8420}

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

\frac{x\%}{100\%}=\frac{8420}{55}

\Rightarrow{x} = {15309.09\%}

Therefore, {8420} is {15309.09\%} of {55}.