4.07 is what percent of 10.7 - 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 10.7 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 10.7, so we can write it down as 100%=10.7.
4. We know, that x% equals 4.07 of the output value, so we can write it down as x%=4.07.
5. Now we have two simple equations:
1) 100%=10.7
2) x%=4.07
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%=10.7/4.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.07 is what percent of 10.7

100%/x%=10.7/4.07
(100/x)*x=(10.7/4.07)*x       - we multiply both sides of the equation by x
100=2.6289926289926*x       - we divide both sides of the equation by (2.6289926289926) to get x
100/2.6289926289926=x
38.03738317757=x
x=38.03738317757

now we have:
4.07 is 38.03738317757% of 10.7