1.7 is what percent of 1.409 - 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 1.409 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 1.409, so we can write it down as 100%=1.409.
4. We know, that x% equals 1.7 of the output value, so we can write it down as x%=1.7.
5. Now we have two simple equations:
1) 100%=1.409
2) x%=1.7
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%=1.409/1.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.7 is what percent of 1.409

100%/x%=1.409/1.7
(100/x)*x=(1.409/1.7)*x       - we multiply both sides of the equation by x
100=0.82882352941176*x       - we divide both sides of the equation by (0.82882352941176) to get x
100/0.82882352941176=x
120.65294535131=x
x=120.65294535131

now we have:
1.7 is 120.65294535131% of 1.409