4.6 is what percent of 364.02 - 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 364.02 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 364.02, so we can write it down as 100%=364.02.
4. We know, that x% equals 4.6 of the output value, so we can write it down as x%=4.6.
5. Now we have two simple equations:
1) 100%=364.02
2) x%=4.6
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%=364.02/4.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.6 is what percent of 364.02

100%/x%=364.02/4.6
(100/x)*x=(364.02/4.6)*x       - we multiply both sides of the equation by x
100=79.134782608696*x       - we divide both sides of the equation by (79.134782608696) to get x
100/79.134782608696=x
1.2636668314928=x
x=1.2636668314928

now we have:
4.6 is 1.2636668314928% of 364.02