210.9 is what percent of 626.2 - 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 626.2 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 626.2, so we can write it down as 100%=626.2.
4. We know, that x% equals 210.9 of the output value, so we can write it down as x%=210.9.
5. Now we have two simple equations:
1) 100%=626.2
2) x%=210.9
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%=626.2/210.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 210.9 is what percent of 626.2

100%/x%=626.2/210.9
(100/x)*x=(626.2/210.9)*x       - we multiply both sides of the equation by x
100=2.9691797060218*x       - we divide both sides of the equation by (2.9691797060218) to get x
100/2.9691797060218=x
33.679335675503=x
x=33.679335675503

now we have:
210.9 is 33.679335675503% of 626.2