97.07 is what percent of 778.01 - 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 778.01 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 778.01, so we can write it down as 100%=778.01.
4. We know, that x% equals 97.07 of the output value, so we can write it down as x%=97.07.
5. Now we have two simple equations:
1) 100%=778.01
2) x%=97.07
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%=778.01/97.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.07 is what percent of 778.01

100%/x%=778.01/97.07
(100/x)*x=(778.01/97.07)*x       - we multiply both sides of the equation by x
100=8.0149376738436*x       - we divide both sides of the equation by (8.0149376738436) to get x
100/8.0149376738436=x
12.476703384275=x
x=12.476703384275

now we have:
97.07 is 12.476703384275% of 778.01