35 is what percent of 0.86 - 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 0.86 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 0.86, so we can write it down as 100%=0.86.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=0.86
2) x%=35
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%=0.86/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 0.86

100%/x%=0.86/35
(100/x)*x=(0.86/35)*x       - we multiply both sides of the equation by x
100=0.024571428571429*x       - we divide both sides of the equation by (0.024571428571429) to get x
100/0.024571428571429=x
4069.7674418605=x
x=4069.7674418605

now we have:
35 is 4069.7674418605% of 0.86