20.95 is what percent of 7420.09 - 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 7420.09 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 7420.09, so we can write it down as 100%=7420.09.
4. We know, that x% equals 20.95 of the output value, so we can write it down as x%=20.95.
5. Now we have two simple equations:
1) 100%=7420.09
2) x%=20.95
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%=7420.09/20.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.95 is what percent of 7420.09

100%/x%=7420.09/20.95
(100/x)*x=(7420.09/20.95)*x       - we multiply both sides of the equation by x
100=354.18090692124*x       - we divide both sides of the equation by (354.18090692124) to get x
100/354.18090692124=x
0.28234158884865=x
x=0.28234158884865

now we have:
20.95 is 0.28234158884865% of 7420.09