17.52 is what percent of 1346.4 - 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 1346.4 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 1346.4, so we can write it down as 100%=1346.4.
4. We know, that x% equals 17.52 of the output value, so we can write it down as x%=17.52.
5. Now we have two simple equations:
1) 100%=1346.4
2) x%=17.52
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%=1346.4/17.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.52 is what percent of 1346.4

100%/x%=1346.4/17.52
(100/x)*x=(1346.4/17.52)*x       - we multiply both sides of the equation by x
100=76.849315068493*x       - we divide both sides of the equation by (76.849315068493) to get x
100/76.849315068493=x
1.301247771836=x
x=1.301247771836

now we have:
17.52 is 1.301247771836% of 1346.4