17.95 is what percent of 31.75 - 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 31.75 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 31.75, so we can write it down as 100%=31.75.
4. We know, that x% equals 17.95 of the output value, so we can write it down as x%=17.95.
5. Now we have two simple equations:
1) 100%=31.75
2) x%=17.95
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%=31.75/17.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.95 is what percent of 31.75

100%/x%=31.75/17.95
(100/x)*x=(31.75/17.95)*x       - we multiply both sides of the equation by x
100=1.7688022284123*x       - we divide both sides of the equation by (1.7688022284123) to get x
100/1.7688022284123=x
56.535433070866=x
x=56.535433070866

now we have:
17.95 is 56.535433070866% of 31.75