61.22 is what percent of 1020.113 - 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 1020.113 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 1020.113, so we can write it down as 100%=1020.113.
4. We know, that x% equals 61.22 of the output value, so we can write it down as x%=61.22.
5. Now we have two simple equations:
1) 100%=1020.113
2) x%=61.22
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%=1020.113/61.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 61.22 is what percent of 1020.113

100%/x%=1020.113/61.22
(100/x)*x=(1020.113/61.22)*x       - we multiply both sides of the equation by x
100=16.663067624959*x       - we divide both sides of the equation by (16.663067624959) to get x
100/16.663067624959=x
6.0012959348621=x
x=6.0012959348621

now we have:
61.22 is 6.0012959348621% of 1020.113