209.05 is what percent of 302.43 - 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 302.43 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 302.43, so we can write it down as 100%=302.43.
4. We know, that x% equals 209.05 of the output value, so we can write it down as x%=209.05.
5. Now we have two simple equations:
1) 100%=302.43
2) x%=209.05
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%=302.43/209.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 209.05 is what percent of 302.43

100%/x%=302.43/209.05
(100/x)*x=(302.43/209.05)*x       - we multiply both sides of the equation by x
100=1.44668739536*x       - we divide both sides of the equation by (1.44668739536) to get x
100/1.44668739536=x
69.123433521807=x
x=69.123433521807

now we have:
209.05 is 69.123433521807% of 302.43