28.22 is what percent of 146.93 - 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 146.93 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 146.93, so we can write it down as 100%=146.93.
4. We know, that x% equals 28.22 of the output value, so we can write it down as x%=28.22.
5. Now we have two simple equations:
1) 100%=146.93
2) x%=28.22
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%=146.93/28.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.22 is what percent of 146.93

100%/x%=146.93/28.22
(100/x)*x=(146.93/28.22)*x       - we multiply both sides of the equation by x
100=5.206591070163*x       - we divide both sides of the equation by (5.206591070163) to get x
100/5.206591070163=x
19.206424828149=x
x=19.206424828149

now we have:
28.22 is 19.206424828149% of 146.93