5.17 is what percent of 458 - 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 458 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 458, so we can write it down as 100%=458.
4. We know, that x% equals 5.17 of the output value, so we can write it down as x%=5.17.
5. Now we have two simple equations:
1) 100%=458
2) x%=5.17
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%=458/5.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.17 is what percent of 458

100%/x%=458/5.17
(100/x)*x=(458/5.17)*x       - we multiply both sides of the equation by x
100=88.588007736944*x       - we divide both sides of the equation by (88.588007736944) to get x
100/88.588007736944=x
1.1288209606987=x
x=1.1288209606987

now we have:
5.17 is 1.1288209606987% of 458