5412.5 is what percent of 3250 - 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 3250 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 3250, so we can write it down as 100%=3250.
4. We know, that x% equals 5412.5 of the output value, so we can write it down as x%=5412.5.
5. Now we have two simple equations:
1) 100%=3250
2) x%=5412.5
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%=3250/5412.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5412.5 is what percent of 3250

100%/x%=3250/5412.5
(100/x)*x=(3250/5412.5)*x       - we multiply both sides of the equation by x
100=0.60046189376443*x       - we divide both sides of the equation by (0.60046189376443) to get x
100/0.60046189376443=x
166.53846153846=x
x=166.53846153846

now we have:
5412.5 is 166.53846153846% of 3250