407.92 is what percent of 1552.36 - 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 1552.36 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 1552.36, so we can write it down as 100%=1552.36.
4. We know, that x% equals 407.92 of the output value, so we can write it down as x%=407.92.
5. Now we have two simple equations:
1) 100%=1552.36
2) x%=407.92
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%=1552.36/407.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 407.92 is what percent of 1552.36

100%/x%=1552.36/407.92
(100/x)*x=(1552.36/407.92)*x       - we multiply both sides of the equation by x
100=3.8055501078643*x       - we divide both sides of the equation by (3.8055501078643) to get x
100/3.8055501078643=x
26.277409879152=x
x=26.277409879152

now we have:
407.92 is 26.277409879152% of 1552.36