250.08 is what percent of 1.606 - 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 1.606 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 1.606, so we can write it down as 100%=1.606.
4. We know, that x% equals 250.08 of the output value, so we can write it down as x%=250.08.
5. Now we have two simple equations:
1) 100%=1.606
2) x%=250.08
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%=1.606/250.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.08 is what percent of 1.606

100%/x%=1.606/250.08
(100/x)*x=(1.606/250.08)*x       - we multiply both sides of the equation by x
100=0.0064219449776072*x       - we divide both sides of the equation by (0.0064219449776072) to get x
100/0.0064219449776072=x
15571.606475716=x
x=15571.606475716

now we have:
250.08 is 15571.606475716% of 1.606