345.4 is what percent of 4676.01 - 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 4676.01 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 4676.01, so we can write it down as 100%=4676.01.
4. We know, that x% equals 345.4 of the output value, so we can write it down as x%=345.4.
5. Now we have two simple equations:
1) 100%=4676.01
2) x%=345.4
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%=4676.01/345.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 345.4 is what percent of 4676.01

100%/x%=4676.01/345.4
(100/x)*x=(4676.01/345.4)*x       - we multiply both sides of the equation by x
100=13.537955993052*x       - we divide both sides of the equation by (13.537955993052) to get x
100/13.537955993052=x
7.3866394639875=x
x=7.3866394639875

now we have:
345.4 is 7.3866394639875% of 4676.01