611.99 is what percent of 690 - 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 690 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 690, so we can write it down as 100%=690.
4. We know, that x% equals 611.99 of the output value, so we can write it down as x%=611.99.
5. Now we have two simple equations:
1) 100%=690
2) x%=611.99
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%=690/611.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 611.99 is what percent of 690

100%/x%=690/611.99
(100/x)*x=(690/611.99)*x       - we multiply both sides of the equation by x
100=1.1274694030948*x       - we divide both sides of the equation by (1.1274694030948) to get x
100/1.1274694030948=x
88.694202898551=x
x=88.694202898551

now we have:
611.99 is 88.694202898551% of 690