#### Solution for 45 is what percent of 6200:

45:6200*100 =

(45*100):6200 =

4500:6200 = 0.73

Now we have: 45 is what percent of 6200 = 0.73

Question: 45 is what percent of 6200?

Percentage solution with steps:

Step 1: We make the assumption that 6200 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\%}={6200}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={6200}(1).

{x\%}={45}(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{6200}{45}

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

\frac{x\%}{100\%}=\frac{45}{6200}

\Rightarrow{x} = {0.73\%}

Therefore, {45} is {0.73\%} of {6200}.

#### Solution for 6200 is what percent of 45:

6200:45*100 =

(6200*100):45 =

620000:45 = 13777.78

Now we have: 6200 is what percent of 45 = 13777.78

Question: 6200 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={6200}.

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

{100\%}={45}(1).

{x\%}={6200}(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{45}{6200}

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

\frac{x\%}{100\%}=\frac{6200}{45}

\Rightarrow{x} = {13777.78\%}

Therefore, {6200} is {13777.78\%} of {45}.

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