5.38 is what percent of 10.762 - 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 10.762 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 10.762, so we can write it down as 100%=10.762.
4. We know, that x% equals 5.38 of the output value, so we can write it down as x%=5.38.
5. Now we have two simple equations:
1) 100%=10.762
2) x%=5.38
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%=10.762/5.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.38 is what percent of 10.762

100%/x%=10.762/5.38
(100/x)*x=(10.762/5.38)*x       - we multiply both sides of the equation by x
100=2.0003717472119*x       - we divide both sides of the equation by (2.0003717472119) to get x
100/2.0003717472119=x
49.990708046831=x
x=49.990708046831

now we have:
5.38 is 49.990708046831% of 10.762