3.52 is what percent of 1.72 - 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 1.72 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 1.72, so we can write it down as 100%=1.72.
4. We know, that x% equals 3.52 of the output value, so we can write it down as x%=3.52.
5. Now we have two simple equations:
1) 100%=1.72
2) x%=3.52
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%=1.72/3.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.52 is what percent of 1.72

100%/x%=1.72/3.52
(100/x)*x=(1.72/3.52)*x       - we multiply both sides of the equation by x
100=0.48863636363636*x       - we divide both sides of the equation by (0.48863636363636) to get x
100/0.48863636363636=x
204.6511627907=x
x=204.6511627907

now we have:
3.52 is 204.6511627907% of 1.72