39.85 is what percent of 69.99 - 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 69.99 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 69.99, so we can write it down as 100%=69.99.
4. We know, that x% equals 39.85 of the output value, so we can write it down as x%=39.85.
5. Now we have two simple equations:
1) 100%=69.99
2) x%=39.85
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%=69.99/39.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.85 is what percent of 69.99

100%/x%=69.99/39.85
(100/x)*x=(69.99/39.85)*x       - we multiply both sides of the equation by x
100=1.7563362609787*x       - we divide both sides of the equation by (1.7563362609787) to get x
100/1.7563362609787=x
56.936705243606=x
x=56.936705243606

now we have:
39.85 is 56.936705243606% of 69.99