19.4 is what percent of 214.2 - 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 214.2 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 214.2, so we can write it down as 100%=214.2.
4. We know, that x% equals 19.4 of the output value, so we can write it down as x%=19.4.
5. Now we have two simple equations:
1) 100%=214.2
2) x%=19.4
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%=214.2/19.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.4 is what percent of 214.2

100%/x%=214.2/19.4
(100/x)*x=(214.2/19.4)*x       - we multiply both sides of the equation by x
100=11.041237113402*x       - we divide both sides of the equation by (11.041237113402) to get x
100/11.041237113402=x
9.0569561157796=x
x=9.0569561157796

now we have:
19.4 is 9.0569561157796% of 214.2