19.4 is what percent of 1013 - 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 1013 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 1013, so we can write it down as 100%=1013.
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%=1013
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%=1013/19.4
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 1013

100%/x%=1013/19.4
(100/x)*x=(1013/19.4)*x       - we multiply both sides of the equation by x
100=52.216494845361*x       - we divide both sides of the equation by (52.216494845361) to get x
100/52.216494845361=x
1.9151036525173=x
x=1.9151036525173

now we have:
19.4 is 1.9151036525173% of 1013