0.58 is what percent of 67.36 - 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 67.36 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 67.36, so we can write it down as 100%=67.36.
4. We know, that x% equals 0.58 of the output value, so we can write it down as x%=0.58.
5. Now we have two simple equations:
1) 100%=67.36
2) x%=0.58
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%=67.36/0.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.58 is what percent of 67.36

100%/x%=67.36/0.58
(100/x)*x=(67.36/0.58)*x       - we multiply both sides of the equation by x
100=116.13793103448*x       - we divide both sides of the equation by (116.13793103448) to get x
100/116.13793103448=x
0.86104513064133=x
x=0.86104513064133

now we have:
0.58 is 0.86104513064133% of 67.36