0.32 is what percent of 17.07 - 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 17.07 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 17.07, so we can write it down as 100%=17.07.
4. We know, that x% equals 0.32 of the output value, so we can write it down as x%=0.32.
5. Now we have two simple equations:
1) 100%=17.07
2) x%=0.32
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%=17.07/0.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.32 is what percent of 17.07

100%/x%=17.07/0.32
(100/x)*x=(17.07/0.32)*x       - we multiply both sides of the equation by x
100=53.34375*x       - we divide both sides of the equation by (53.34375) to get x
100/53.34375=x
1.8746338605741=x
x=1.8746338605741

now we have:
0.32 is 1.8746338605741% of 17.07