967.16 is what percent of 38.686 - 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 38.686 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 100% equals 38.686, so we can write it down as 100%=38.686.
4. We know, that x% equals 967.16 of the output value, so we can write it down as x%=967.16.
5. Now we have two simple equations:
1) 100%=38.686
2) x%=967.16
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:
100%/x%=38.686/967.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 967.16 is what percent of 38.686

100%/x%=38.686/967.16
(100/x)*x=(38.686/967.16)*x       - we multiply both sides of the equation by x
100=0.039999586417966*x       - we divide both sides of the equation by (0.039999586417966) to get x
100/0.039999586417966=x
2500.0258491444=x
x=2500.0258491444

now we have:
967.16 is 2500.0258491444% of 38.686