7.03 is what percent of 46.85 - 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 46.85 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 46.85, so we can write it down as 100%=46.85.
4. We know, that x% equals 7.03 of the output value, so we can write it down as x%=7.03.
5. Now we have two simple equations:
1) 100%=46.85
2) x%=7.03
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%=46.85/7.03
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.03 is what percent of 46.85

100%/x%=46.85/7.03
(100/x)*x=(46.85/7.03)*x       - we multiply both sides of the equation by x
100=6.6642958748222*x       - we divide both sides of the equation by (6.6642958748222) to get x
100/6.6642958748222=x
15.005336179296=x
x=15.005336179296

now we have:
7.03 is 15.005336179296% of 46.85