106.5 is what percent of 1598 - 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 1598 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 1598, so we can write it down as 100%=1598.
4. We know, that x% equals 106.5 of the output value, so we can write it down as x%=106.5.
5. Now we have two simple equations:
1) 100%=1598
2) x%=106.5
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%=1598/106.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.5 is what percent of 1598

100%/x%=1598/106.5
(100/x)*x=(1598/106.5)*x       - we multiply both sides of the equation by x
100=15.004694835681*x       - we divide both sides of the equation by (15.004694835681) to get x
100/15.004694835681=x
6.6645807259074=x
x=6.6645807259074

now we have:
106.5 is 6.6645807259074% of 1598