69.95 is what percent of 119.98 - 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 119.98 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 119.98, so we can write it down as 100%=119.98.
4. We know, that x% equals 69.95 of the output value, so we can write it down as x%=69.95.
5. Now we have two simple equations:
1) 100%=119.98
2) x%=69.95
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%=119.98/69.95
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.95 is what percent of 119.98

100%/x%=119.98/69.95
(100/x)*x=(119.98/69.95)*x       - we multiply both sides of the equation by x
100=1.7152251608292*x       - we divide both sides of the equation by (1.7152251608292) to get x
100/1.7152251608292=x
58.301383563927=x
x=58.301383563927

now we have:
69.95 is 58.301383563927% of 119.98