5.25 is what percent of 679.35 - 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 679.35 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 679.35, so we can write it down as 100%=679.35.
4. We know, that x% equals 5.25 of the output value, so we can write it down as x%=5.25.
5. Now we have two simple equations:
1) 100%=679.35
2) x%=5.25
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%=679.35/5.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.25 is what percent of 679.35

100%/x%=679.35/5.25
(100/x)*x=(679.35/5.25)*x       - we multiply both sides of the equation by x
100=129.4*x       - we divide both sides of the equation by (129.4) to get x
100/129.4=x
0.77279752704791=x
x=0.77279752704791

now we have:
5.25 is 0.77279752704791% of 679.35