97.05 is what percent of 67.14 - 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 67.14 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 67.14, so we can write it down as 100%=67.14.
4. We know, that x% equals 97.05 of the output value, so we can write it down as x%=97.05.
5. Now we have two simple equations:
1) 100%=67.14
2) x%=97.05
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%=67.14/97.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.05 is what percent of 67.14

100%/x%=67.14/97.05
(100/x)*x=(67.14/97.05)*x       - we multiply both sides of the equation by x
100=0.69180834621329*x       - we divide both sides of the equation by (0.69180834621329) to get x
100/0.69180834621329=x
144.54870420018=x
x=144.54870420018

now we have:
97.05 is 144.54870420018% of 67.14