17.06 is what percent of 1175.5 - 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 1175.5 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 1175.5, so we can write it down as 100%=1175.5.
4. We know, that x% equals 17.06 of the output value, so we can write it down as x%=17.06.
5. Now we have two simple equations:
1) 100%=1175.5
2) x%=17.06
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%=1175.5/17.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.06 is what percent of 1175.5

100%/x%=1175.5/17.06
(100/x)*x=(1175.5/17.06)*x       - we multiply both sides of the equation by x
100=68.90386869871*x       - we divide both sides of the equation by (68.90386869871) to get x
100/68.90386869871=x
1.4512973202892=x
x=1.4512973202892

now we have:
17.06 is 1.4512973202892% of 1175.5