46 is what percent of 213 - 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 213 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 213, so we can write it down as 100%=213.
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%=213
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%=213/46
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 213

100%/x%=213/46
(100/x)*x=(213/46)*x       - we multiply both sides of the equation by x
100=4.6304347826087*x       - we divide both sides of the equation by (4.6304347826087) to get x
100/4.6304347826087=x
21.596244131455=x
x=21.596244131455

now we have:
46 is 21.596244131455% of 213