What is 38500 percent of 107500 - 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 107500 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 107500 is 100%, so we can write it down as 107500=100%.
4. We know, that x is 38500% of the output value, so we can write it down as x=38500%.
5. Now we have two simple equations:
1) 107500=100%
2) x=38500%
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:
107500/x=100%/38500%
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 38500% of 107500

107500/x=100/38500
(107500/x)*x=(100/38500)*x       - we multiply both sides of the equation by x
107500=0.0025974025974026*x       - we divide both sides of the equation by (0.0025974025974026) to get x
107500/0.0025974025974026=x
41387500=x
x=41387500

now we have:
38500% of 107500=41387500