5.38 is what percent of 34.62 - 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 34.62 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 34.62, so we can write it down as 100%=34.62.
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%=34.62
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%=34.62/5.38
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 34.62

100%/x%=34.62/5.38
(100/x)*x=(34.62/5.38)*x       - we multiply both sides of the equation by x
100=6.4349442379182*x       - we divide both sides of the equation by (6.4349442379182) to get x
100/6.4349442379182=x
15.540150202195=x
x=15.540150202195

now we have:
5.38 is 15.540150202195% of 34.62