170.15 is what percent of 1750 - 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 1750 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 1750, so we can write it down as 100%=1750.
4. We know, that x% equals 170.15 of the output value, so we can write it down as x%=170.15.
5. Now we have two simple equations:
1) 100%=1750
2) x%=170.15
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%=1750/170.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 170.15 is what percent of 1750

100%/x%=1750/170.15
(100/x)*x=(1750/170.15)*x       - we multiply both sides of the equation by x
100=10.285042609462*x       - we divide both sides of the equation by (10.285042609462) to get x
100/10.285042609462=x
9.7228571428571=x
x=9.7228571428571

now we have:
170.15 is 9.7228571428571% of 1750