50.4 is what percent of 1185.98 - 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 1185.98 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 1185.98, so we can write it down as 100%=1185.98.
4. We know, that x% equals 50.4 of the output value, so we can write it down as x%=50.4.
5. Now we have two simple equations:
1) 100%=1185.98
2) x%=50.4
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%=1185.98/50.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 50.4 is what percent of 1185.98

100%/x%=1185.98/50.4
(100/x)*x=(1185.98/50.4)*x       - we multiply both sides of the equation by x
100=23.531349206349*x       - we divide both sides of the equation by (23.531349206349) to get x
100/23.531349206349=x
4.2496500784162=x
x=4.2496500784162

now we have:
50.4 is 4.2496500784162% of 1185.98