What is 21.5 percent of 177.75 - 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 177.75 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 177.75 is 100%, so we can write it down as 177.75=100%.
4. We know, that x is 21.5% of the output value, so we can write it down as x=21.5%.
5. Now we have two simple equations:
1) 177.75=100%
2) x=21.5%
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:
177.75/x=100%/21.5%
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 21.5% of 177.75

177.75/x=100/21.5
(177.75/x)*x=(100/21.5)*x       - we multiply both sides of the equation by x
177.75=4.6511627906977*x       - we divide both sides of the equation by (4.6511627906977) to get x
177.75/4.6511627906977=x
38.21625=x
x=38.21625

now we have:
21.5% of 177.75=38.21625