What is 35.88 percent of 172.78 - 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 172.78 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 172.78 is 100%, so we can write it down as 172.78=100%.
4. We know, that x is 35.88% of the output value, so we can write it down as x=35.88%.
5. Now we have two simple equations:
1) 172.78=100%
2) x=35.88%
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:
172.78/x=100%/35.88%
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 35.88% of 172.78

172.78/x=100/35.88
(172.78/x)*x=(100/35.88)*x       - we multiply both sides of the equation by x
172.78=2.7870680044593*x       - we divide both sides of the equation by (2.7870680044593) to get x
172.78/2.7870680044593=x
61.993464=x
x=61.993464

now we have:
35.88% of 172.78=61.993464