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Solution for 824 is what percent of 45:

824:45*100 =

(824*100):45 =

82400:45 = 1831.11

Now we have: 824 is what percent of 45 = 1831.11

Question: 824 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\%}={824}.

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

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

{x\%}={824}(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}{824}

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

\frac{x\%}{100\%}=\frac{824}{45}

\Rightarrow{x} = {1831.11\%}

Therefore, {824} is {1831.11\%} of {45}.

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• 824 is what percent of 100 = 824

Solution for 45 is what percent of 824:

45:824*100 =

(45*100):824 =

4500:824 = 5.46

Now we have: 45 is what percent of 824 = 5.46

Question: 45 is what percent of 824?

Percentage solution with steps:

Step 1: We make the assumption that 824 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\%}={824}.

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

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

{100\%}={824}(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{824}{45}

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

\frac{x\%}{100\%}=\frac{45}{824}

\Rightarrow{x} = {5.46\%}

Therefore, {45} is {5.46\%} of {824}.