533.4 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 533.4 of the output value, so we can write it down as x%=533.4.
5. Now we have two simple equations:
1) 100%=800
2) x%=533.4
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%=800/533.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 533.4 is what percent of 800

100%/x%=800/533.4
(100/x)*x=(800/533.4)*x       - we multiply both sides of the equation by x
100=1.4998125234346*x       - we divide both sides of the equation by (1.4998125234346) to get x
100/1.4998125234346=x
66.675=x
x=66.675

now we have:
533.4 is 66.675% of 800