292.9 is what percent of 398.4 - 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 398.4 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 398.4, so we can write it down as 100%=398.4.
4. We know, that x% equals 292.9 of the output value, so we can write it down as x%=292.9.
5. Now we have two simple equations:
1) 100%=398.4
2) x%=292.9
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%=398.4/292.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 292.9 is what percent of 398.4

100%/x%=398.4/292.9
(100/x)*x=(398.4/292.9)*x       - we multiply both sides of the equation by x
100=1.3601911915329*x       - we divide both sides of the equation by (1.3601911915329) to get x
100/1.3601911915329=x
73.519076305221=x
x=73.519076305221

now we have:
292.9 is 73.519076305221% of 398.4