142.4 is what percent of 2211.32 - 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 2211.32 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 2211.32, so we can write it down as 100%=2211.32.
4. We know, that x% equals 142.4 of the output value, so we can write it down as x%=142.4.
5. Now we have two simple equations:
1) 100%=2211.32
2) x%=142.4
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%=2211.32/142.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.4 is what percent of 2211.32

100%/x%=2211.32/142.4
(100/x)*x=(2211.32/142.4)*x       - we multiply both sides of the equation by x
100=15.52893258427*x       - we divide both sides of the equation by (15.52893258427) to get x
100/15.52893258427=x
6.4395926414992=x
x=6.4395926414992

now we have:
142.4 is 6.4395926414992% of 2211.32