What is 385750 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 385750% of the output value, so we can write it down as x=385750%.
5. Now we have two simple equations:
1) 107500=100%
2) x=385750%
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%/385750%
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 385750% of 107500

107500/x=100/385750
(107500/x)*x=(100/385750)*x       - we multiply both sides of the equation by x
107500=0.00025923525599482*x       - we divide both sides of the equation by (0.00025923525599482) to get x
107500/0.00025923525599482=x
414681250=x
x=414681250

now we have:
385750% of 107500=414681250