What is 23.7 percent of 360.9 - 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 360.9 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 360.9 is 100%, so we can write it down as 360.9=100%.
4. We know, that x is 23.7% of the output value, so we can write it down as x=23.7%.
5. Now we have two simple equations:
1) 360.9=100%
2) x=23.7%
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:
360.9/x=100%/23.7%
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 23.7% of 360.9

360.9/x=100/23.7
(360.9/x)*x=(100/23.7)*x       - we multiply both sides of the equation by x
360.9=4.2194092827004*x       - we divide both sides of the equation by (4.2194092827004) to get x
360.9/4.2194092827004=x
85.5333=x
x=85.5333

now we have:
23.7% of 360.9=85.5333