7 is what percent of 46.7 - 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 46.7 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 46.7, so we can write it down as 100%=46.7.
4. We know, that x% equals 7 of the output value, so we can write it down as x%=7.
5. Now we have two simple equations:
1) 100%=46.7
2) x%=7
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%=46.7/7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7 is what percent of 46.7

100%/x%=46.7/7
(100/x)*x=(46.7/7)*x       - we multiply both sides of the equation by x
100=6.6714285714286*x       - we divide both sides of the equation by (6.6714285714286) to get x
100/6.6714285714286=x
14.989293361884=x
x=14.989293361884

now we have:
7 is 14.989293361884% of 46.7