67.96 is what percent of 67.11 - 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 67.11 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 67.11, so we can write it down as 100%=67.11.
4. We know, that x% equals 67.96 of the output value, so we can write it down as x%=67.96.
5. Now we have two simple equations:
1) 100%=67.11
2) x%=67.96
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%=67.11/67.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 67.96 is what percent of 67.11

100%/x%=67.11/67.96
(100/x)*x=(67.11/67.96)*x       - we multiply both sides of the equation by x
100=0.98749264273102*x       - we divide both sides of the equation by (0.98749264273102) to get x
100/0.98749264273102=x
101.26657726121=x
x=101.26657726121

now we have:
67.96 is 101.26657726121% of 67.11