142.23 is what percent of 1077.74 - 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 1077.74 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 1077.74, so we can write it down as 100%=1077.74.
4. We know, that x% equals 142.23 of the output value, so we can write it down as x%=142.23.
5. Now we have two simple equations:
1) 100%=1077.74
2) x%=142.23
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%=1077.74/142.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.23 is what percent of 1077.74

100%/x%=1077.74/142.23
(100/x)*x=(1077.74/142.23)*x       - we multiply both sides of the equation by x
100=7.5774449834775*x       - we divide both sides of the equation by (7.5774449834775) to get x
100/7.5774449834775=x
13.197060515523=x
x=13.197060515523

now we have:
142.23 is 13.197060515523% of 1077.74