560.34 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 560.34 of the output value, so we can write it down as x%=560.34.
5. Now we have two simple equations:
1) 100%=698
2) x%=560.34
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%=698/560.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 560.34 is what percent of 698

100%/x%=698/560.34
(100/x)*x=(698/560.34)*x       - we multiply both sides of the equation by x
100=1.2456722704073*x       - we divide both sides of the equation by (1.2456722704073) to get x
100/1.2456722704073=x
80.277936962751=x
x=80.277936962751

now we have:
560.34 is 80.277936962751% of 698