2.23 is what percent of 6.35 - 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 6.35 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 6.35, so we can write it down as 100%=6.35.
4. We know, that x% equals 2.23 of the output value, so we can write it down as x%=2.23.
5. Now we have two simple equations:
1) 100%=6.35
2) x%=2.23
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%=6.35/2.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.23 is what percent of 6.35

100%/x%=6.35/2.23
(100/x)*x=(6.35/2.23)*x       - we multiply both sides of the equation by x
100=2.847533632287*x       - we divide both sides of the equation by (2.847533632287) to get x
100/2.847533632287=x
35.11811023622=x
x=35.11811023622

now we have:
2.23 is 35.11811023622% of 6.35