58.33 is what percent of 1.166 - 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 1.166 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 1.166, so we can write it down as 100%=1.166.
4. We know, that x% equals 58.33 of the output value, so we can write it down as x%=58.33.
5. Now we have two simple equations:
1) 100%=1.166
2) x%=58.33
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%=1.166/58.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.33 is what percent of 1.166

100%/x%=1.166/58.33
(100/x)*x=(1.166/58.33)*x       - we multiply both sides of the equation by x
100=0.019989713697926*x       - we divide both sides of the equation by (0.019989713697926) to get x
100/0.019989713697926=x
5002.5728987993=x
x=5002.5728987993

now we have:
58.33 is 5002.5728987993% of 1.166