164.78 is what percent of 16707.07 - 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 16707.07 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 16707.07, so we can write it down as 100%=16707.07.
4. We know, that x% equals 164.78 of the output value, so we can write it down as x%=164.78.
5. Now we have two simple equations:
1) 100%=16707.07
2) x%=164.78
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%=16707.07/164.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.78 is what percent of 16707.07

100%/x%=16707.07/164.78
(100/x)*x=(16707.07/164.78)*x       - we multiply both sides of the equation by x
100=101.3901565724*x       - we divide both sides of the equation by (101.3901565724) to get x
100/101.3901565724=x
0.9862890381138=x
x=0.9862890381138

now we have:
164.78 is 0.9862890381138% of 16707.07