164.46 is what percent of 826 - 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 826 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 826, so we can write it down as 100%=826.
4. We know, that x% equals 164.46 of the output value, so we can write it down as x%=164.46.
5. Now we have two simple equations:
1) 100%=826
2) x%=164.46
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%=826/164.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.46 is what percent of 826

100%/x%=826/164.46
(100/x)*x=(826/164.46)*x       - we multiply both sides of the equation by x
100=5.0224978718229*x       - we divide both sides of the equation by (5.0224978718229) to get x
100/5.0224978718229=x
19.910411622276=x
x=19.910411622276

now we have:
164.46 is 19.910411622276% of 826