415.21 is what percent of 5300 - 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 5300 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 5300, so we can write it down as 100%=5300.
4. We know, that x% equals 415.21 of the output value, so we can write it down as x%=415.21.
5. Now we have two simple equations:
1) 100%=5300
2) x%=415.21
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%=5300/415.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 415.21 is what percent of 5300

100%/x%=5300/415.21
(100/x)*x=(5300/415.21)*x       - we multiply both sides of the equation by x
100=12.764625129453*x       - we divide both sides of the equation by (12.764625129453) to get x
100/12.764625129453=x
7.8341509433962=x
x=7.8341509433962

now we have:
415.21 is 7.8341509433962% of 5300