159.75 is what percent of 1775 - 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 1775 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 1775, so we can write it down as 100%=1775.
4. We know, that x% equals 159.75 of the output value, so we can write it down as x%=159.75.
5. Now we have two simple equations:
1) 100%=1775
2) x%=159.75
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%=1775/159.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.75 is what percent of 1775

100%/x%=1775/159.75
(100/x)*x=(1775/159.75)*x       - we multiply both sides of the equation by x
100=11.111111111111*x       - we divide both sides of the equation by (11.111111111111) to get x
100/11.111111111111=x
9=x
x=9

now we have:
159.75 is 9% of 1775