103.51 is what percent of 155.5 - 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 155.5 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 155.5, so we can write it down as 100%=155.5.
4. We know, that x% equals 103.51 of the output value, so we can write it down as x%=103.51.
5. Now we have two simple equations:
1) 100%=155.5
2) x%=103.51
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%=155.5/103.51
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.51 is what percent of 155.5

100%/x%=155.5/103.51
(100/x)*x=(155.5/103.51)*x       - we multiply both sides of the equation by x
100=1.5022703120471*x       - we divide both sides of the equation by (1.5022703120471) to get x
100/1.5022703120471=x
66.565916398714=x
x=66.565916398714

now we have:
103.51 is 66.565916398714% of 155.5