1097.5 is what percent of 1560 - 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 1560 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 1560, so we can write it down as 100%=1560.
4. We know, that x% equals 1097.5 of the output value, so we can write it down as x%=1097.5.
5. Now we have two simple equations:
1) 100%=1560
2) x%=1097.5
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%=1560/1097.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1097.5 is what percent of 1560

100%/x%=1560/1097.5
(100/x)*x=(1560/1097.5)*x       - we multiply both sides of the equation by x
100=1.4214123006834*x       - we divide both sides of the equation by (1.4214123006834) to get x
100/1.4214123006834=x
70.352564102564=x
x=70.352564102564

now we have:
1097.5 is 70.352564102564% of 1560