303.94 is what percent of 534.4 - 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 534.4 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 534.4, so we can write it down as 100%=534.4.
4. We know, that x% equals 303.94 of the output value, so we can write it down as x%=303.94.
5. Now we have two simple equations:
1) 100%=534.4
2) x%=303.94
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%=534.4/303.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 303.94 is what percent of 534.4

100%/x%=534.4/303.94
(100/x)*x=(534.4/303.94)*x       - we multiply both sides of the equation by x
100=1.7582417582418*x       - we divide both sides of the equation by (1.7582417582418) to get x
100/1.7582417582418=x
56.875=x
x=56.875

now we have:
303.94 is 56.875% of 534.4