351.48 is what percent of 802.4 - 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 802.4 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 802.4, so we can write it down as 100%=802.4.
4. We know, that x% equals 351.48 of the output value, so we can write it down as x%=351.48.
5. Now we have two simple equations:
1) 100%=802.4
2) x%=351.48
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%=802.4/351.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 351.48 is what percent of 802.4

100%/x%=802.4/351.48
(100/x)*x=(802.4/351.48)*x       - we multiply both sides of the equation by x
100=2.2829179469671*x       - we divide both sides of the equation by (2.2829179469671) to get x
100/2.2829179469671=x
43.803589232303=x
x=43.803589232303

now we have:
351.48 is 43.803589232303% of 802.4