What is 11.58 percent of 560.45 - 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 560.45 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 560.45 is 100%, so we can write it down as 560.45=100%.
4. We know, that x is 11.58% of the output value, so we can write it down as x=11.58%.
5. Now we have two simple equations:
1) 560.45=100%
2) x=11.58%
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:
560.45/x=100%/11.58%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.58% of 560.45

560.45/x=100/11.58
(560.45/x)*x=(100/11.58)*x       - we multiply both sides of the equation by x
560.45=8.6355785837651*x       - we divide both sides of the equation by (8.6355785837651) to get x
560.45/8.6355785837651=x
64.90011=x
x=64.90011

now we have:
11.58% of 560.45=64.90011