#### Solution for 945.95 is what percent of 1000:

945.95:1000*100 =

(945.95*100):1000 =

94595:1000 = 94.595

Now we have: 945.95 is what percent of 1000 = 94.595

Question: 945.95 is what percent of 1000?

Percentage solution with steps:

Step 1: We make the assumption that 1000 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\%}={1000}.

Step 4: In the same vein, {x\%}={945.95}.

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

{100\%}={1000}(1).

{x\%}={945.95}(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{1000}{945.95}

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

\frac{x\%}{100\%}=\frac{945.95}{1000}

\Rightarrow{x} = {94.595\%}

Therefore, {945.95} is {94.595\%} of {1000}.

#### Solution for 1000 is what percent of 945.95:

1000:945.95*100 =

(1000*100):945.95 =

100000:945.95 = 105.713832655

Now we have: 1000 is what percent of 945.95 = 105.713832655

Question: 1000 is what percent of 945.95?

Percentage solution with steps:

Step 1: We make the assumption that 945.95 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\%}={945.95}.

Step 4: In the same vein, {x\%}={1000}.

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

{100\%}={945.95}(1).

{x\%}={1000}(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{945.95}{1000}

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

\frac{x\%}{100\%}=\frac{1000}{945.95}

\Rightarrow{x} = {105.713832655\%}

Therefore, {1000} is {105.713832655\%} of {945.95}.

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