7.13 is what percent of 38.87 - 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 38.87 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 38.87, so we can write it down as 100%=38.87.
4. We know, that x% equals 7.13 of the output value, so we can write it down as x%=7.13.
5. Now we have two simple equations:
1) 100%=38.87
2) x%=7.13
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%=38.87/7.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.13 is what percent of 38.87

100%/x%=38.87/7.13
(100/x)*x=(38.87/7.13)*x       - we multiply both sides of the equation by x
100=5.4516129032258*x       - we divide both sides of the equation by (5.4516129032258) to get x
100/5.4516129032258=x
18.343195266272=x
x=18.343195266272

now we have:
7.13 is 18.343195266272% of 38.87