561.12 is what percent of 855.55 - 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 855.55 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 855.55, so we can write it down as 100%=855.55.
4. We know, that x% equals 561.12 of the output value, so we can write it down as x%=561.12.
5. Now we have two simple equations:
1) 100%=855.55
2) x%=561.12
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%=855.55/561.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 561.12 is what percent of 855.55

100%/x%=855.55/561.12
(100/x)*x=(855.55/561.12)*x       - we multiply both sides of the equation by x
100=1.5247184203023*x       - we divide both sides of the equation by (1.5247184203023) to get x
100/1.5247184203023=x
65.585880427795=x
x=65.585880427795

now we have:
561.12 is 65.585880427795% of 855.55