31.38 is what percent of 31.67 - 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 31.67 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 31.67, so we can write it down as 100%=31.67.
4. We know, that x% equals 31.38 of the output value, so we can write it down as x%=31.38.
5. Now we have two simple equations:
1) 100%=31.67
2) x%=31.38
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%=31.67/31.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 31.38 is what percent of 31.67

100%/x%=31.67/31.38
(100/x)*x=(31.67/31.38)*x       - we multiply both sides of the equation by x
100=1.0092415551307*x       - we divide both sides of the equation by (1.0092415551307) to get x
100/1.0092415551307=x
99.084306915062=x
x=99.084306915062

now we have:
31.38 is 99.084306915062% of 31.67