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Solution for 975 is what percent of 49:

975:49*100 =

(975*100):49 =

97500:49 = 1989.8

Now we have: 975 is what percent of 49 = 1989.8

Question: 975 is what percent of 49?

Percentage solution with steps:

Step 1: We make the assumption that 49 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\%}={49}.

Step 4: In the same vein, {x\%}={975}.

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

{100\%}={49}(1).

{x\%}={975}(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{49}{975}

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

\frac{x\%}{100\%}=\frac{975}{49}

\Rightarrow{x} = {1989.8\%}

Therefore, {975} is {1989.8\%} of {49}.

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Solution for 49 is what percent of 975:

49:975*100 =

(49*100):975 =

4900:975 = 5.03

Now we have: 49 is what percent of 975 = 5.03

Question: 49 is what percent of 975?

Percentage solution with steps:

Step 1: We make the assumption that 975 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\%}={975}.

Step 4: In the same vein, {x\%}={49}.

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

{100\%}={975}(1).

{x\%}={49}(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{975}{49}

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

\frac{x\%}{100\%}=\frac{49}{975}

\Rightarrow{x} = {5.03\%}

Therefore, {49} is {5.03\%} of {975}.