34.81 is what percent of 0.705 - 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 0.705 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 0.705, so we can write it down as 100%=0.705.
4. We know, that x% equals 34.81 of the output value, so we can write it down as x%=34.81.
5. Now we have two simple equations:
1) 100%=0.705
2) x%=34.81
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%=0.705/34.81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.81 is what percent of 0.705

100%/x%=0.705/34.81
(100/x)*x=(0.705/34.81)*x       - we multiply both sides of the equation by x
100=0.020252800919276*x       - we divide both sides of the equation by (0.020252800919276) to get x
100/0.020252800919276=x
4937.5886524823=x
x=4937.5886524823

now we have:
34.81 is 4937.5886524823% of 0.705