189.54 is what percent of 4189.54 - 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 4189.54 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 4189.54, so we can write it down as 100%=4189.54.
4. We know, that x% equals 189.54 of the output value, so we can write it down as x%=189.54.
5. Now we have two simple equations:
1) 100%=4189.54
2) x%=189.54
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%=4189.54/189.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 189.54 is what percent of 4189.54

100%/x%=4189.54/189.54
(100/x)*x=(4189.54/189.54)*x       - we multiply both sides of the equation by x
100=22.103724807429*x       - we divide both sides of the equation by (22.103724807429) to get x
100/22.103724807429=x
4.5241243668756=x
x=4.5241243668756

now we have:
189.54 is 4.5241243668756% of 4189.54