58.62 is what percent of 3852.3 - 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 3852.3 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 3852.3, so we can write it down as 100%=3852.3.
4. We know, that x% equals 58.62 of the output value, so we can write it down as x%=58.62.
5. Now we have two simple equations:
1) 100%=3852.3
2) x%=58.62
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%=3852.3/58.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 58.62 is what percent of 3852.3

100%/x%=3852.3/58.62
(100/x)*x=(3852.3/58.62)*x       - we multiply both sides of the equation by x
100=65.7164790174*x       - we divide both sides of the equation by (65.7164790174) to get x
100/65.7164790174=x
1.5216883420294=x
x=1.5216883420294

now we have:
58.62 is 1.5216883420294% of 3852.3