143.5 is what percent of 155.65 - 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 155.65 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 155.65, so we can write it down as 100%=155.65.
4. We know, that x% equals 143.5 of the output value, so we can write it down as x%=143.5.
5. Now we have two simple equations:
1) 100%=155.65
2) x%=143.5
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%=155.65/143.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 143.5 is what percent of 155.65

100%/x%=155.65/143.5
(100/x)*x=(155.65/143.5)*x       - we multiply both sides of the equation by x
100=1.084668989547*x       - we divide both sides of the equation by (1.084668989547) to get x
100/1.084668989547=x
92.194025056216=x
x=92.194025056216

now we have:
143.5 is 92.194025056216% of 155.65