10.4 is what percent of 5500000 - 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 5500000 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 5500000, so we can write it down as 100%=5500000.
4. We know, that x% equals 10.4 of the output value, so we can write it down as x%=10.4.
5. Now we have two simple equations:
1) 100%=5500000
2) x%=10.4
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%=5500000/10.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.4 is what percent of 5500000

100%/x%=5500000/10.4
(100/x)*x=(5500000/10.4)*x       - we multiply both sides of the equation by x
100=528846.15384615*x       - we divide both sides of the equation by (528846.15384615) to get x
100/528846.15384615=x
0.00018909090909091=x
x=0.00018909090909091

now we have:
10.4 is 0.00018909090909091% of 5500000