152.91 is what percent of 1834.92 - 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 1834.92 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 1834.92, so we can write it down as 100%=1834.92.
4. We know, that x% equals 152.91 of the output value, so we can write it down as x%=152.91.
5. Now we have two simple equations:
1) 100%=1834.92
2) x%=152.91
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%=1834.92/152.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 152.91 is what percent of 1834.92

100%/x%=1834.92/152.91
(100/x)*x=(1834.92/152.91)*x       - we multiply both sides of the equation by x
100=12*x       - we divide both sides of the equation by (12) to get x
100/12=x
8.3333333333333=x
x=8.3333333333333

now we have:
152.91 is 8.3333333333333% of 1834.92