153.75 is what percent of 1773.23 - 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 1773.23 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 1773.23, so we can write it down as 100%=1773.23.
4. We know, that x% equals 153.75 of the output value, so we can write it down as x%=153.75.
5. Now we have two simple equations:
1) 100%=1773.23
2) x%=153.75
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%=1773.23/153.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 153.75 is what percent of 1773.23

100%/x%=1773.23/153.75
(100/x)*x=(1773.23/153.75)*x       - we multiply both sides of the equation by x
100=11.533203252033*x       - we divide both sides of the equation by (11.533203252033) to get x
100/11.533203252033=x
8.6706180247345=x
x=8.6706180247345

now we have:
153.75 is 8.6706180247345% of 1773.23