102.62 is what percent of 1655.2 - 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 1655.2 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 1655.2, so we can write it down as 100%=1655.2.
4. We know, that x% equals 102.62 of the output value, so we can write it down as x%=102.62.
5. Now we have two simple equations:
1) 100%=1655.2
2) x%=102.62
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%=1655.2/102.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.62 is what percent of 1655.2

100%/x%=1655.2/102.62
(100/x)*x=(1655.2/102.62)*x       - we multiply both sides of the equation by x
100=16.129409471838*x       - we divide both sides of the equation by (16.129409471838) to get x
100/16.129409471838=x
6.1998550024166=x
x=6.1998550024166

now we have:
102.62 is 6.1998550024166% of 1655.2