What is 83.58 percent of 67 - 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 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 67 is 100%, so we can write it down as 67=100%.
4. We know, that x is 83.58% of the output value, so we can write it down as x=83.58%.
5. Now we have two simple equations:
1) 67=100%
2) x=83.58%
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:
67/x=100%/83.58%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 83.58% of 67

67/x=100/83.58
(67/x)*x=(100/83.58)*x       - we multiply both sides of the equation by x
67=1.1964584828906*x       - we divide both sides of the equation by (1.1964584828906) to get x
67/1.1964584828906=x
55.9986=x
x=55.9986

now we have:
83.58% of 67=55.9986