149.98 is what percent of 1599.8 - 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 1599.8 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 1599.8, so we can write it down as 100%=1599.8.
4. We know, that x% equals 149.98 of the output value, so we can write it down as x%=149.98.
5. Now we have two simple equations:
1) 100%=1599.8
2) x%=149.98
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%=1599.8/149.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 149.98 is what percent of 1599.8

100%/x%=1599.8/149.98
(100/x)*x=(1599.8/149.98)*x       - we multiply both sides of the equation by x
100=10.666755567409*x       - we divide both sides of the equation by (10.666755567409) to get x
100/10.666755567409=x
9.3749218652332=x
x=9.3749218652332

now we have:
149.98 is 9.3749218652332% of 1599.8