10 is what percent of 381.9746 - 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 381.9746 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 381.9746, so we can write it down as 100%=381.9746.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=381.9746
2) x%=10
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%=381.9746/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 381.9746

100%/x%=381.9746/10
(100/x)*x=(381.9746/10)*x       - we multiply both sides of the equation by x
100=38.19746*x       - we divide both sides of the equation by (38.19746) to get x
100/38.19746=x
2.617975121906=x
x=2.617975121906

now we have:
10 is 2.617975121906% of 381.9746