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Solution for 45 is what percent of 830:

45:830*100 =

(45*100):830 =

4500:830 = 5.42

Now we have: 45 is what percent of 830 = 5.42

Question: 45 is what percent of 830?

Percentage solution with steps:

Step 1: We make the assumption that 830 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\%}={830}.

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

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

{100\%}={830}(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{830}{45}

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

\frac{x\%}{100\%}=\frac{45}{830}

\Rightarrow{x} = {5.42\%}

Therefore, {45} is {5.42\%} of {830}.

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• 45 is what percent of 31 = 145.16
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Solution for 830 is what percent of 45:

830:45*100 =

(830*100):45 =

83000:45 = 1844.44

Now we have: 830 is what percent of 45 = 1844.44

Question: 830 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\%}={830}.

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

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

{x\%}={830}(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}{830}

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

\frac{x\%}{100\%}=\frac{830}{45}

\Rightarrow{x} = {1844.44\%}

Therefore, {830} is {1844.44\%} of {45}.