61.99 is what percent of 688.73 - 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 688.73 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 688.73, so we can write it down as 100%=688.73.
4. We know, that x% equals 61.99 of the output value, so we can write it down as x%=61.99.
5. Now we have two simple equations:
1) 100%=688.73
2) x%=61.99
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%=688.73/61.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.99 is what percent of 688.73

100%/x%=688.73/61.99
(100/x)*x=(688.73/61.99)*x       - we multiply both sides of the equation by x
100=11.11034037748*x       - we divide both sides of the equation by (11.11034037748) to get x
100/11.11034037748=x
9.0006243375488=x
x=9.0006243375488

now we have:
61.99 is 9.0006243375488% of 688.73