635.9 is what percent of 698 - 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 698 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 698, so we can write it down as 100%=698.
4. We know, that x% equals 635.9 of the output value, so we can write it down as x%=635.9.
5. Now we have two simple equations:
1) 100%=698
2) x%=635.9
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%=698/635.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 635.9 is what percent of 698

100%/x%=698/635.9
(100/x)*x=(698/635.9)*x       - we multiply both sides of the equation by x
100=1.0976568642868*x       - we divide both sides of the equation by (1.0976568642868) to get x
100/1.0976568642868=x
91.103151862464=x
x=91.103151862464

now we have:
635.9 is 91.103151862464% of 698