6.95 is what percent of 19.99 - 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 19.99 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 19.99, so we can write it down as 100%=19.99.
4. We know, that x% equals 6.95 of the output value, so we can write it down as x%=6.95.
5. Now we have two simple equations:
1) 100%=19.99
2) x%=6.95
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%=19.99/6.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.95 is what percent of 19.99

100%/x%=19.99/6.95
(100/x)*x=(19.99/6.95)*x       - we multiply both sides of the equation by x
100=2.8762589928058*x       - we divide both sides of the equation by (2.8762589928058) to get x
100/2.8762589928058=x
34.767383691846=x
x=34.767383691846

now we have:
6.95 is 34.767383691846% of 19.99