26.4 is what percent of 190.2 - 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 190.2 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 190.2, so we can write it down as 100%=190.2.
4. We know, that x% equals 26.4 of the output value, so we can write it down as x%=26.4.
5. Now we have two simple equations:
1) 100%=190.2
2) x%=26.4
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%=190.2/26.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 26.4 is what percent of 190.2

100%/x%=190.2/26.4
(100/x)*x=(190.2/26.4)*x       - we multiply both sides of the equation by x
100=7.2045454545455*x       - we divide both sides of the equation by (7.2045454545455) to get x
100/7.2045454545455=x
13.880126182965=x
x=13.880126182965

now we have:
26.4 is 13.880126182965% of 190.2