77.07 is what percent of 197.99 - 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 197.99 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 197.99, so we can write it down as 100%=197.99.
4. We know, that x% equals 77.07 of the output value, so we can write it down as x%=77.07.
5. Now we have two simple equations:
1) 100%=197.99
2) x%=77.07
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%=197.99/77.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.07 is what percent of 197.99

100%/x%=197.99/77.07
(100/x)*x=(197.99/77.07)*x       - we multiply both sides of the equation by x
100=2.5689632801349*x       - we divide both sides of the equation by (2.5689632801349) to get x
100/2.5689632801349=x
38.926208394363=x
x=38.926208394363

now we have:
77.07 is 38.926208394363% of 197.99