#### Solution for 49.000 is what percent of 70.000:

49.000:70.000*100 =

(49.000*100):70.000 =

4900:70.000 = 70

Now we have: 49.000 is what percent of 70.000 = 70

Question: 49.000 is what percent of 70.000?

Percentage solution with steps:

Step 1: We make the assumption that 70.000 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\%}={70.000}.

Step 4: In the same vein, {x\%}={49.000}.

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

{100\%}={70.000}(1).

{x\%}={49.000}(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{70.000}{49.000}

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

\frac{x\%}{100\%}=\frac{49.000}{70.000}

\Rightarrow{x} = {70\%}

Therefore, {49.000} is {70\%} of {70.000}.

#### Solution for 70.000 is what percent of 49.000:

70.000:49.000*100 =

(70.000*100):49.000 =

7000:49.000 = 142.85714285714

Now we have: 70.000 is what percent of 49.000 = 142.85714285714

Question: 70.000 is what percent of 49.000?

Percentage solution with steps:

Step 1: We make the assumption that 49.000 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\%}={49.000}.

Step 4: In the same vein, {x\%}={70.000}.

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

{100\%}={49.000}(1).

{x\%}={70.000}(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{49.000}{70.000}

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

\frac{x\%}{100\%}=\frac{70.000}{49.000}

\Rightarrow{x} = {142.85714285714\%}

Therefore, {70.000} is {142.85714285714\%} of {49.000}.

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