698.36 is what percent of 2028.85 - 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 2028.85 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 2028.85, so we can write it down as 100%=2028.85.
4. We know, that x% equals 698.36 of the output value, so we can write it down as x%=698.36.
5. Now we have two simple equations:
1) 100%=2028.85
2) x%=698.36
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%=2028.85/698.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 698.36 is what percent of 2028.85

100%/x%=2028.85/698.36
(100/x)*x=(2028.85/698.36)*x       - we multiply both sides of the equation by x
100=2.9051635259751*x       - we divide both sides of the equation by (2.9051635259751) to get x
100/2.9051635259751=x
34.421470291052=x
x=34.421470291052

now we have:
698.36 is 34.421470291052% of 2028.85