155.32 is what percent of 965 - 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 965 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 965, so we can write it down as 100%=965.
4. We know, that x% equals 155.32 of the output value, so we can write it down as x%=155.32.
5. Now we have two simple equations:
1) 100%=965
2) x%=155.32
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%=965/155.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 155.32 is what percent of 965

100%/x%=965/155.32
(100/x)*x=(965/155.32)*x       - we multiply both sides of the equation by x
100=6.212979654906*x       - we divide both sides of the equation by (6.212979654906) to get x
100/6.212979654906=x
16.095336787565=x
x=16.095336787565

now we have:
155.32 is 16.095336787565% of 965