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Solution for 820 is what percent of 45:

820:45*100 =

(820*100):45 =

82000:45 = 1822.22

Now we have: 820 is what percent of 45 = 1822.22

Question: 820 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\%}={820}.

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

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

{x\%}={820}(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}{820}

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

\frac{x\%}{100\%}=\frac{820}{45}

\Rightarrow{x} = {1822.22\%}

Therefore, {820} is {1822.22\%} of {45}.

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• 820 is what percent of 100 = 820

Solution for 45 is what percent of 820:

45:820*100 =

(45*100):820 =

4500:820 = 5.49

Now we have: 45 is what percent of 820 = 5.49

Question: 45 is what percent of 820?

Percentage solution with steps:

Step 1: We make the assumption that 820 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\%}={820}.

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

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

{100\%}={820}(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{820}{45}

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

\frac{x\%}{100\%}=\frac{45}{820}

\Rightarrow{x} = {5.49\%}

Therefore, {45} is {5.49\%} of {820}.