#### Solution for 42000 is what percent of 35000:

42000:35000*100 =

(42000*100):35000 =

4200000:35000 = 120

Now we have: 42000 is what percent of 35000 = 120

Question: 42000 is what percent of 35000?

Percentage solution with steps:

Step 1: We make the assumption that 35000 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\%}={35000}.

Step 4: In the same vein, {x\%}={42000}.

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

{100\%}={35000}(1).

{x\%}={42000}(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{35000}{42000}

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

\frac{x\%}{100\%}=\frac{42000}{35000}

\Rightarrow{x} = {120\%}

Therefore, {42000} is {120\%} of {35000}.

#### Solution for 35000 is what percent of 42000:

35000:42000*100 =

(35000*100):42000 =

3500000:42000 = 83.33

Now we have: 35000 is what percent of 42000 = 83.33

Question: 35000 is what percent of 42000?

Percentage solution with steps:

Step 1: We make the assumption that 42000 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\%}={42000}.

Step 4: In the same vein, {x\%}={35000}.

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

{100\%}={42000}(1).

{x\%}={35000}(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{42000}{35000}

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

\frac{x\%}{100\%}=\frac{35000}{42000}

\Rightarrow{x} = {83.33\%}

Therefore, {35000} is {83.33\%} of {42000}.

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