5 is what percent of 345.8 - 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 345.8 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 345.8, so we can write it down as 100%=345.8.
4. We know, that x% equals 5 of the output value, so we can write it down as x%=5.
5. Now we have two simple equations:
1) 100%=345.8
2) x%=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%=345.8/5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5 is what percent of 345.8

100%/x%=345.8/5
(100/x)*x=(345.8/5)*x       - we multiply both sides of the equation by x
100=69.16*x       - we divide both sides of the equation by (69.16) to get x
100/69.16=x
1.4459224985541=x
x=1.4459224985541

now we have:
5 is 1.4459224985541% of 345.8