155.82 is what percent of 902 - 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 902 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 902, so we can write it down as 100%=902.
4. We know, that x% equals 155.82 of the output value, so we can write it down as x%=155.82.
5. Now we have two simple equations:
1) 100%=902
2) x%=155.82
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%=902/155.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.82 is what percent of 902

100%/x%=902/155.82
(100/x)*x=(902/155.82)*x       - we multiply both sides of the equation by x
100=5.7887305865743*x       - we divide both sides of the equation by (5.7887305865743) to get x
100/5.7887305865743=x
17.274944567627=x
x=17.274944567627

now we have:
155.82 is 17.274944567627% of 902