29.48 is what percent of 1833.81 - 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 1833.81 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 1833.81, so we can write it down as 100%=1833.81.
4. We know, that x% equals 29.48 of the output value, so we can write it down as x%=29.48.
5. Now we have two simple equations:
1) 100%=1833.81
2) x%=29.48
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%=1833.81/29.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.48 is what percent of 1833.81

100%/x%=1833.81/29.48
(100/x)*x=(1833.81/29.48)*x       - we multiply both sides of the equation by x
100=62.205223880597*x       - we divide both sides of the equation by (62.205223880597) to get x
100/62.205223880597=x
1.6075820286725=x
x=1.6075820286725

now we have:
29.48 is 1.6075820286725% of 1833.81