17 is what percent of 1756 - 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 1756 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 1756, so we can write it down as 100%=1756.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=1756
2) x%=17
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%=1756/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 1756

100%/x%=1756/17
(100/x)*x=(1756/17)*x       - we multiply both sides of the equation by x
100=103.29411764706*x       - we divide both sides of the equation by (103.29411764706) to get x
100/103.29411764706=x
0.96810933940774=x
x=0.96810933940774

now we have:
17 is 0.96810933940774% of 1756