69.99 is what percent of 209.91 - 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 209.91 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 209.91, so we can write it down as 100%=209.91.
4. We know, that x% equals 69.99 of the output value, so we can write it down as x%=69.99.
5. Now we have two simple equations:
1) 100%=209.91
2) x%=69.99
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%=209.91/69.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.99 is what percent of 209.91

100%/x%=209.91/69.99
(100/x)*x=(209.91/69.99)*x       - we multiply both sides of the equation by x
100=2.9991427346764*x       - we divide both sides of the equation by (2.9991427346764) to get x
100/2.9991427346764=x
33.34286122624=x
x=33.34286122624

now we have:
69.99 is 33.34286122624% of 209.91