5.13 is what percent of 70.13 - 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 70.13 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 70.13, so we can write it down as 100%=70.13.
4. We know, that x% equals 5.13 of the output value, so we can write it down as x%=5.13.
5. Now we have two simple equations:
1) 100%=70.13
2) x%=5.13
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%=70.13/5.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.13 is what percent of 70.13

100%/x%=70.13/5.13
(100/x)*x=(70.13/5.13)*x       - we multiply both sides of the equation by x
100=13.670565302144*x       - we divide both sides of the equation by (13.670565302144) to get x
100/13.670565302144=x
7.3149864537288=x
x=7.3149864537288

now we have:
5.13 is 7.3149864537288% of 70.13