What is 64.19 percent of 59.99 - 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 59.99 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 59.99 is 100%, so we can write it down as 59.99=100%.
4. We know, that x is 64.19% of the output value, so we can write it down as x=64.19%.
5. Now we have two simple equations:
1) 59.99=100%
2) x=64.19%
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:
59.99/x=100%/64.19%
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 64.19% of 59.99

59.99/x=100/64.19
(59.99/x)*x=(100/64.19)*x       - we multiply both sides of the equation by x
59.99=1.5578750584203*x       - we divide both sides of the equation by (1.5578750584203) to get x
59.99/1.5578750584203=x
38.507581=x
x=38.507581

now we have:
64.19% of 59.99=38.507581