What is 86.49 percent of 74 - 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 74 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 74 is 100%, so we can write it down as 74=100%.
4. We know, that x is 86.49% of the output value, so we can write it down as x=86.49%.
5. Now we have two simple equations:
1) 74=100%
2) x=86.49%
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:
74/x=100%/86.49%
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 86.49% of 74

74/x=100/86.49
(74/x)*x=(100/86.49)*x       - we multiply both sides of the equation by x
74=1.1562030292519*x       - we divide both sides of the equation by (1.1562030292519) to get x
74/1.1562030292519=x
64.0026=x
x=64.0026

now we have:
86.49% of 74=64.0026