17.58 is what percent of 1212.3 - 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 1212.3 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 1212.3, so we can write it down as 100%=1212.3.
4. We know, that x% equals 17.58 of the output value, so we can write it down as x%=17.58.
5. Now we have two simple equations:
1) 100%=1212.3
2) x%=17.58
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%=1212.3/17.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.58 is what percent of 1212.3

100%/x%=1212.3/17.58
(100/x)*x=(1212.3/17.58)*x       - we multiply both sides of the equation by x
100=68.959044368601*x       - we divide both sides of the equation by (68.959044368601) to get x
100/68.959044368601=x
1.4501361049245=x
x=1.4501361049245

now we have:
17.58 is 1.4501361049245% of 1212.3