20.99 is what percent of 164.69 - 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 164.69 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 164.69, so we can write it down as 100%=164.69.
4. We know, that x% equals 20.99 of the output value, so we can write it down as x%=20.99.
5. Now we have two simple equations:
1) 100%=164.69
2) x%=20.99
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%=164.69/20.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.99 is what percent of 164.69

100%/x%=164.69/20.99
(100/x)*x=(164.69/20.99)*x       - we multiply both sides of the equation by x
100=7.846117198666*x       - we divide both sides of the equation by (7.846117198666) to get x
100/7.846117198666=x
12.745157568766=x
x=12.745157568766

now we have:
20.99 is 12.745157568766% of 164.69