46 is what percent of 426 - 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 426 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 426, so we can write it down as 100%=426.
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%=426
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%=426/46
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 426

100%/x%=426/46
(100/x)*x=(426/46)*x       - we multiply both sides of the equation by x
100=9.2608695652174*x       - we divide both sides of the equation by (9.2608695652174) to get x
100/9.2608695652174=x
10.798122065728=x
x=10.798122065728

now we have:
46 is 10.798122065728% of 426