What is 68.5 percent of 83.3 - 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 83.3 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 83.3 is 100%, so we can write it down as 83.3=100%.
4. We know, that x is 68.5% of the output value, so we can write it down as x=68.5%.
5. Now we have two simple equations:
1) 83.3=100%
2) x=68.5%
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:
83.3/x=100%/68.5%
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 68.5% of 83.3

83.3/x=100/68.5
(83.3/x)*x=(100/68.5)*x       - we multiply both sides of the equation by x
83.3=1.4598540145985*x       - we divide both sides of the equation by (1.4598540145985) to get x
83.3/1.4598540145985=x
57.0605=x
x=57.0605

now we have:
68.5% of 83.3=57.0605