155.67 is what percent of 525.51 - 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 525.51 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 525.51, so we can write it down as 100%=525.51.
4. We know, that x% equals 155.67 of the output value, so we can write it down as x%=155.67.
5. Now we have two simple equations:
1) 100%=525.51
2) x%=155.67
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%=525.51/155.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.67 is what percent of 525.51

100%/x%=525.51/155.67
(100/x)*x=(525.51/155.67)*x       - we multiply both sides of the equation by x
100=3.3757949508576*x       - we divide both sides of the equation by (3.3757949508576) to get x
100/3.3757949508576=x
29.622652280642=x
x=29.622652280642

now we have:
155.67 is 29.622652280642% of 525.51