142.32 is what percent of 1384.72 - 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 1384.72 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 1384.72, so we can write it down as 100%=1384.72.
4. We know, that x% equals 142.32 of the output value, so we can write it down as x%=142.32.
5. Now we have two simple equations:
1) 100%=1384.72
2) x%=142.32
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%=1384.72/142.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.32 is what percent of 1384.72

100%/x%=1384.72/142.32
(100/x)*x=(1384.72/142.32)*x       - we multiply both sides of the equation by x
100=9.7296233839236*x       - we divide both sides of the equation by (9.7296233839236) to get x
100/9.7296233839236=x
10.277890114969=x
x=10.277890114969

now we have:
142.32 is 10.277890114969% of 1384.72