69.95 is what percent of 25 - 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 25 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 25, so we can write it down as 100%=25.
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%=25
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%=25/69.95
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 25

100%/x%=25/69.95
(100/x)*x=(25/69.95)*x       - we multiply both sides of the equation by x
100=0.35739814152966*x       - we divide both sides of the equation by (0.35739814152966) to get x
100/0.35739814152966=x
279.8=x
x=279.8

now we have:
69.95 is 279.8% of 25