19.4 is what percent of 145.8 - 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 145.8 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 145.8, so we can write it down as 100%=145.8.
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%=145.8
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%=145.8/19.4
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 145.8

100%/x%=145.8/19.4
(100/x)*x=(145.8/19.4)*x       - we multiply both sides of the equation by x
100=7.5154639175258*x       - we divide both sides of the equation by (7.5154639175258) to get x
100/7.5154639175258=x
13.305898491084=x
x=13.305898491084

now we have:
19.4 is 13.305898491084% of 145.8