159.95 is what percent of 1770.05 - 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 1770.05 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 1770.05, so we can write it down as 100%=1770.05.
4. We know, that x% equals 159.95 of the output value, so we can write it down as x%=159.95.
5. Now we have two simple equations:
1) 100%=1770.05
2) x%=159.95
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%=1770.05/159.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 159.95 is what percent of 1770.05

100%/x%=1770.05/159.95
(100/x)*x=(1770.05/159.95)*x       - we multiply both sides of the equation by x
100=11.066270709597*x       - we divide both sides of the equation by (11.066270709597) to get x
100/11.066270709597=x
9.0364678963871=x
x=9.0364678963871

now we have:
159.95 is 9.0364678963871% of 1770.05