21.83 is what percent of 134.17 - 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 134.17 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 134.17, so we can write it down as 100%=134.17.
4. We know, that x% equals 21.83 of the output value, so we can write it down as x%=21.83.
5. Now we have two simple equations:
1) 100%=134.17
2) x%=21.83
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%=134.17/21.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21.83 is what percent of 134.17

100%/x%=134.17/21.83
(100/x)*x=(134.17/21.83)*x       - we multiply both sides of the equation by x
100=6.1461291800275*x       - we divide both sides of the equation by (6.1461291800275) to get x
100/6.1461291800275=x
16.270403219796=x
x=16.270403219796

now we have:
21.83 is 16.270403219796% of 134.17