174.37 is what percent of 1836.46 - 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 1836.46 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 1836.46, so we can write it down as 100%=1836.46.
4. We know, that x% equals 174.37 of the output value, so we can write it down as x%=174.37.
5. Now we have two simple equations:
1) 100%=1836.46
2) x%=174.37
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%=1836.46/174.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 174.37 is what percent of 1836.46

100%/x%=1836.46/174.37
(100/x)*x=(1836.46/174.37)*x       - we multiply both sides of the equation by x
100=10.531972242932*x       - we divide both sides of the equation by (10.531972242932) to get x
100/10.531972242932=x
9.4948977924921=x
x=9.4948977924921

now we have:
174.37 is 9.4948977924921% of 1836.46