113.05 is what percent of 1823.4 - 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 1823.4 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 1823.4, so we can write it down as 100%=1823.4.
4. We know, that x% equals 113.05 of the output value, so we can write it down as x%=113.05.
5. Now we have two simple equations:
1) 100%=1823.4
2) x%=113.05
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%=1823.4/113.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.05 is what percent of 1823.4

100%/x%=1823.4/113.05
(100/x)*x=(1823.4/113.05)*x       - we multiply both sides of the equation by x
100=16.1291463954*x       - we divide both sides of the equation by (16.1291463954) to get x
100/16.1291463954=x
6.1999561259186=x
x=6.1999561259186

now we have:
113.05 is 6.1999561259186% of 1823.4