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Solution for 829 is what percent of 45:

829:45*100 =

(829*100):45 =

82900:45 = 1842.22

Now we have: 829 is what percent of 45 = 1842.22

Question: 829 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\%}={829}.

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

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

{x\%}={829}(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}{829}

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

\frac{x\%}{100\%}=\frac{829}{45}

\Rightarrow{x} = {1842.22\%}

Therefore, {829} is {1842.22\%} of {45}.

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Solution for 45 is what percent of 829:

45:829*100 =

(45*100):829 =

4500:829 = 5.43

Now we have: 45 is what percent of 829 = 5.43

Question: 45 is what percent of 829?

Percentage solution with steps:

Step 1: We make the assumption that 829 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\%}={829}.

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

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

{100\%}={829}(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{829}{45}

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

\frac{x\%}{100\%}=\frac{45}{829}

\Rightarrow{x} = {5.43\%}

Therefore, {45} is {5.43\%} of {829}.