139.54 is what percent of 1550.4 - 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 1550.4 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 1550.4, so we can write it down as 100%=1550.4.
4. We know, that x% equals 139.54 of the output value, so we can write it down as x%=139.54.
5. Now we have two simple equations:
1) 100%=1550.4
2) x%=139.54
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%=1550.4/139.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.54 is what percent of 1550.4

100%/x%=1550.4/139.54
(100/x)*x=(1550.4/139.54)*x       - we multiply both sides of the equation by x
100=11.110792604271*x       - we divide both sides of the equation by (11.110792604271) to get x
100/11.110792604271=x
9.000257997936=x
x=9.000257997936

now we have:
139.54 is 9.000257997936% of 1550.4