106.33 is what percent of 1833.33 - 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 1833.33 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 1833.33, so we can write it down as 100%=1833.33.
4. We know, that x% equals 106.33 of the output value, so we can write it down as x%=106.33.
5. Now we have two simple equations:
1) 100%=1833.33
2) x%=106.33
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%=1833.33/106.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.33 is what percent of 1833.33

100%/x%=1833.33/106.33
(100/x)*x=(1833.33/106.33)*x       - we multiply both sides of the equation by x
100=17.241888460453*x       - we divide both sides of the equation by (17.241888460453) to get x
100/17.241888460453=x
5.7998287269613=x
x=5.7998287269613

now we have:
106.33 is 5.7998287269613% of 1833.33