270.3 is what percent of 336.4 - 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 336.4 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 336.4, so we can write it down as 100%=336.4.
4. We know, that x% equals 270.3 of the output value, so we can write it down as x%=270.3.
5. Now we have two simple equations:
1) 100%=336.4
2) x%=270.3
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%=336.4/270.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 270.3 is what percent of 336.4

100%/x%=336.4/270.3
(100/x)*x=(336.4/270.3)*x       - we multiply both sides of the equation by x
100=1.244543100259*x       - we divide both sides of the equation by (1.244543100259) to get x
100/1.244543100259=x
80.350772889417=x
x=80.350772889417

now we have:
270.3 is 80.350772889417% of 336.4