What is 39.75 percent of 167.79 - 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 167.79 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 167.79 is 100%, so we can write it down as 167.79=100%.
4. We know, that x is 39.75% of the output value, so we can write it down as x=39.75%.
5. Now we have two simple equations:
1) 167.79=100%
2) x=39.75%
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:
167.79/x=100%/39.75%
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 39.75% of 167.79

167.79/x=100/39.75
(167.79/x)*x=(100/39.75)*x       - we multiply both sides of the equation by x
167.79=2.5157232704403*x       - we divide both sides of the equation by (2.5157232704403) to get x
167.79/2.5157232704403=x
66.696525=x
x=66.696525

now we have:
39.75% of 167.79=66.696525