142.06 is what percent of 11.45 - 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 11.45 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 11.45, so we can write it down as 100%=11.45.
4. We know, that x% equals 142.06 of the output value, so we can write it down as x%=142.06.
5. Now we have two simple equations:
1) 100%=11.45
2) x%=142.06
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%=11.45/142.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.06 is what percent of 11.45

100%/x%=11.45/142.06
(100/x)*x=(11.45/142.06)*x       - we multiply both sides of the equation by x
100=0.08059974658595*x       - we divide both sides of the equation by (0.08059974658595) to get x
100/0.08059974658595=x
1240.6986899563=x
x=1240.6986899563

now we have:
142.06 is 1240.6986899563% of 11.45