1550.4 is what percent of 5170 - 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 5170 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 5170, so we can write it down as 100%=5170.
4. We know, that x% equals 1550.4 of the output value, so we can write it down as x%=1550.4.
5. Now we have two simple equations:
1) 100%=5170
2) x%=1550.4
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%=5170/1550.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1550.4 is what percent of 5170

100%/x%=5170/1550.4
(100/x)*x=(5170/1550.4)*x       - we multiply both sides of the equation by x
100=3.3346233230134*x       - we divide both sides of the equation by (3.3346233230134) to get x
100/3.3346233230134=x
29.988394584139=x
x=29.988394584139

now we have:
1550.4 is 29.988394584139% of 5170