18.62 is what percent of 961.53 - 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 961.53 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 961.53, so we can write it down as 100%=961.53.
4. We know, that x% equals 18.62 of the output value, so we can write it down as x%=18.62.
5. Now we have two simple equations:
1) 100%=961.53
2) x%=18.62
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%=961.53/18.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.62 is what percent of 961.53

100%/x%=961.53/18.62
(100/x)*x=(961.53/18.62)*x       - we multiply both sides of the equation by x
100=51.639634801289*x       - we divide both sides of the equation by (51.639634801289) to get x
100/51.639634801289=x
1.936497041174=x
x=1.936497041174

now we have:
18.62 is 1.936497041174% of 961.53