206.2 is what percent of 500.7 - 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 500.7 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 500.7, so we can write it down as 100%=500.7.
4. We know, that x% equals 206.2 of the output value, so we can write it down as x%=206.2.
5. Now we have two simple equations:
1) 100%=500.7
2) x%=206.2
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%=500.7/206.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 206.2 is what percent of 500.7

100%/x%=500.7/206.2
(100/x)*x=(500.7/206.2)*x       - we multiply both sides of the equation by x
100=2.4282250242483*x       - we divide both sides of the equation by (2.4282250242483) to get x
100/2.4282250242483=x
41.182344717396=x
x=41.182344717396

now we have:
206.2 is 41.182344717396% of 500.7