142.49 is what percent of 1381.63 - 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 1381.63 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 1381.63, so we can write it down as 100%=1381.63.
4. We know, that x% equals 142.49 of the output value, so we can write it down as x%=142.49.
5. Now we have two simple equations:
1) 100%=1381.63
2) x%=142.49
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%=1381.63/142.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.49 is what percent of 1381.63

100%/x%=1381.63/142.49
(100/x)*x=(1381.63/142.49)*x       - we multiply both sides of the equation by x
100=9.6963295669872*x       - we divide both sides of the equation by (9.6963295669872) to get x
100/9.6963295669872=x
10.313180808176=x
x=10.313180808176

now we have:
142.49 is 10.313180808176% of 1381.63