5.2 is what percent of 335.4 - 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 335.4 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 335.4, so we can write it down as 100%=335.4.
4. We know, that x% equals 5.2 of the output value, so we can write it down as x%=5.2.
5. Now we have two simple equations:
1) 100%=335.4
2) x%=5.2
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%=335.4/5.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.2 is what percent of 335.4

100%/x%=335.4/5.2
(100/x)*x=(335.4/5.2)*x       - we multiply both sides of the equation by x
100=64.5*x       - we divide both sides of the equation by (64.5) to get x
100/64.5=x
1.5503875968992=x
x=1.5503875968992

now we have:
5.2 is 1.5503875968992% of 335.4