5.86 is what percent of 158 - 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 158 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 158, so we can write it down as 100%=158.
4. We know, that x% equals 5.86 of the output value, so we can write it down as x%=5.86.
5. Now we have two simple equations:
1) 100%=158
2) x%=5.86
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%=158/5.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.86 is what percent of 158

100%/x%=158/5.86
(100/x)*x=(158/5.86)*x       - we multiply both sides of the equation by x
100=26.962457337884*x       - we divide both sides of the equation by (26.962457337884) to get x
100/26.962457337884=x
3.7088607594937=x
x=3.7088607594937

now we have:
5.86 is 3.7088607594937% of 158