17.48 is what percent of 207.58 - 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 207.58 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 207.58, so we can write it down as 100%=207.58.
4. We know, that x% equals 17.48 of the output value, so we can write it down as x%=17.48.
5. Now we have two simple equations:
1) 100%=207.58
2) x%=17.48
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%=207.58/17.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.48 is what percent of 207.58

100%/x%=207.58/17.48
(100/x)*x=(207.58/17.48)*x       - we multiply both sides of the equation by x
100=11.87528604119*x       - we divide both sides of the equation by (11.87528604119) to get x
100/11.87528604119=x
8.4208497928509=x
x=8.4208497928509

now we have:
17.48 is 8.4208497928509% of 207.58