46 is what percent of 7095 - 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 7095 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 7095, so we can write it down as 100%=7095.
4. We know, that x% equals 46 of the output value, so we can write it down as x%=46.
5. Now we have two simple equations:
1) 100%=7095
2) x%=46
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%=7095/46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46 is what percent of 7095

100%/x%=7095/46
(100/x)*x=(7095/46)*x       - we multiply both sides of the equation by x
100=154.23913043478*x       - we divide both sides of the equation by (154.23913043478) to get x
100/154.23913043478=x
0.64834390415786=x
x=0.64834390415786

now we have:
46 is 0.64834390415786% of 7095