1697.5 is what percent of 6965 - 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 6965 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 6965, so we can write it down as 100%=6965.
4. We know, that x% equals 1697.5 of the output value, so we can write it down as x%=1697.5.
5. Now we have two simple equations:
1) 100%=6965
2) x%=1697.5
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%=6965/1697.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1697.5 is what percent of 6965

100%/x%=6965/1697.5
(100/x)*x=(6965/1697.5)*x       - we multiply both sides of the equation by x
100=4.1030927835052*x       - we divide both sides of the equation by (4.1030927835052) to get x
100/4.1030927835052=x
24.371859296482=x
x=24.371859296482

now we have:
1697.5 is 24.371859296482% of 6965