563.89 is what percent of 1550 - 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 1550 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 1550, so we can write it down as 100%=1550.
4. We know, that x% equals 563.89 of the output value, so we can write it down as x%=563.89.
5. Now we have two simple equations:
1) 100%=1550
2) x%=563.89
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%=1550/563.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 563.89 is what percent of 1550

100%/x%=1550/563.89
(100/x)*x=(1550/563.89)*x       - we multiply both sides of the equation by x
100=2.7487630566245*x       - we divide both sides of the equation by (2.7487630566245) to get x
100/2.7487630566245=x
36.38=x
x=36.38

now we have:
563.89 is 36.38% of 1550