5.3 is what percent of 152.7 - 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 152.7 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 152.7, so we can write it down as 100%=152.7.
4. We know, that x% equals 5.3 of the output value, so we can write it down as x%=5.3.
5. Now we have two simple equations:
1) 100%=152.7
2) x%=5.3
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%=152.7/5.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.3 is what percent of 152.7

100%/x%=152.7/5.3
(100/x)*x=(152.7/5.3)*x       - we multiply both sides of the equation by x
100=28.811320754717*x       - we divide both sides of the equation by (28.811320754717) to get x
100/28.811320754717=x
3.4708578912901=x
x=3.4708578912901

now we have:
5.3 is 3.4708578912901% of 152.7