#### Solution for 5800 is what percent of 6980:

5800:6980*100 =

(5800*100):6980 =

580000:6980 = 83.09

Now we have: 5800 is what percent of 6980 = 83.09

Question: 5800 is what percent of 6980?

Percentage solution with steps:

Step 1: We make the assumption that 6980 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\%}={6980}.

Step 4: In the same vein, {x\%}={5800}.

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

{100\%}={6980}(1).

{x\%}={5800}(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{6980}{5800}

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

\frac{x\%}{100\%}=\frac{5800}{6980}

\Rightarrow{x} = {83.09\%}

Therefore, {5800} is {83.09\%} of {6980}.

#### Solution for 6980 is what percent of 5800:

6980:5800*100 =

(6980*100):5800 =

698000:5800 = 120.34

Now we have: 6980 is what percent of 5800 = 120.34

Question: 6980 is what percent of 5800?

Percentage solution with steps:

Step 1: We make the assumption that 5800 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\%}={5800}.

Step 4: In the same vein, {x\%}={6980}.

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

{100\%}={5800}(1).

{x\%}={6980}(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{5800}{6980}

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

\frac{x\%}{100\%}=\frac{6980}{5800}

\Rightarrow{x} = {120.34\%}

Therefore, {6980} is {120.34\%} of {5800}.

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