6979.35 is what percent of 35351.66 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 35351.66 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 35351.66, so we can write it down as 100%=35351.66.
4. We know, that x% equals 6979.35 of the output value, so we can write it down as x%=6979.35.
5. Now we have two simple equations:
1) 100%=35351.66
2) x%=6979.35
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=35351.66/6979.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6979.35 is what percent of 35351.66

100%/x%=35351.66/6979.35
(100/x)*x=(35351.66/6979.35)*x       - we multiply both sides of the equation by x
100=5.0651794221525*x       - we divide both sides of the equation by (5.0651794221525) to get x
100/5.0651794221525=x
19.742637262295=x
x=19.742637262295

now we have:
6979.35 is 19.742637262295% of 35351.66