34.98 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 34.98 of the output value, so we can write it down as x%=34.98.
5. Now we have two simple equations:
1) 100%=69.99
2) x%=34.98
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%=69.99/34.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.98 is what percent of 69.99

100%/x%=69.99/34.98
(100/x)*x=(69.99/34.98)*x       - we multiply both sides of the equation by x
100=2.0008576329331*x       - we divide both sides of the equation by (2.0008576329331) to get x
100/2.0008576329331=x
49.97856836691=x
x=49.97856836691

now we have:
34.98 is 49.97856836691% of 69.99