15.71 is what percent of 11.044 - 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 11.044 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 11.044, so we can write it down as 100%=11.044.
4. We know, that x% equals 15.71 of the output value, so we can write it down as x%=15.71.
5. Now we have two simple equations:
1) 100%=11.044
2) x%=15.71
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%=11.044/15.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.71 is what percent of 11.044

100%/x%=11.044/15.71
(100/x)*x=(11.044/15.71)*x       - we multiply both sides of the equation by x
100=0.70299172501591*x       - we divide both sides of the equation by (0.70299172501591) to get x
100/0.70299172501591=x
142.24918507787=x
x=142.24918507787

now we have:
15.71 is 142.24918507787% of 11.044