35.86 is what percent of 69.98 - 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 69.98 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 69.98, so we can write it down as 100%=69.98.
4. We know, that x% equals 35.86 of the output value, so we can write it down as x%=35.86.
5. Now we have two simple equations:
1) 100%=69.98
2) x%=35.86
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%=69.98/35.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.86 is what percent of 69.98

100%/x%=69.98/35.86
(100/x)*x=(69.98/35.86)*x       - we multiply both sides of the equation by x
100=1.9514779698829*x       - we divide both sides of the equation by (1.9514779698829) to get x
100/1.9514779698829=x
51.243212346385=x
x=51.243212346385

now we have:
35.86 is 51.243212346385% of 69.98