32.01 is what percent of 316.75 - 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 316.75 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 316.75, so we can write it down as 100%=316.75.
4. We know, that x% equals 32.01 of the output value, so we can write it down as x%=32.01.
5. Now we have two simple equations:
1) 100%=316.75
2) x%=32.01
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%=316.75/32.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 32.01 is what percent of 316.75

100%/x%=316.75/32.01
(100/x)*x=(316.75/32.01)*x       - we multiply both sides of the equation by x
100=9.8953452046236*x       - we divide both sides of the equation by (9.8953452046236) to get x
100/9.8953452046236=x
10.105761641673=x
x=10.105761641673

now we have:
32.01 is 10.105761641673% of 316.75