46.14 is what percent of 53.67 - 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 53.67 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 53.67, so we can write it down as 100%=53.67.
4. We know, that x% equals 46.14 of the output value, so we can write it down as x%=46.14.
5. Now we have two simple equations:
1) 100%=53.67
2) x%=46.14
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%=53.67/46.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.14 is what percent of 53.67

100%/x%=53.67/46.14
(100/x)*x=(53.67/46.14)*x       - we multiply both sides of the equation by x
100=1.1631989596879*x       - we divide both sides of the equation by (1.1631989596879) to get x
100/1.1631989596879=x
85.969815539407=x
x=85.969815539407

now we have:
46.14 is 85.969815539407% of 53.67