7.07 is what percent of 20.17 - 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 20.17 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 20.17, so we can write it down as 100%=20.17.
4. We know, that x% equals 7.07 of the output value, so we can write it down as x%=7.07.
5. Now we have two simple equations:
1) 100%=20.17
2) x%=7.07
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%=20.17/7.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.07 is what percent of 20.17

100%/x%=20.17/7.07
(100/x)*x=(20.17/7.07)*x       - we multiply both sides of the equation by x
100=2.8528995756719*x       - we divide both sides of the equation by (2.8528995756719) to get x
100/2.8528995756719=x
35.052057511155=x
x=35.052057511155

now we have:
7.07 is 35.052057511155% of 20.17