5.9 is what percent of 157.2 - 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 157.2 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 157.2, so we can write it down as 100%=157.2.
4. We know, that x% equals 5.9 of the output value, so we can write it down as x%=5.9.
5. Now we have two simple equations:
1) 100%=157.2
2) x%=5.9
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%=157.2/5.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.9 is what percent of 157.2

100%/x%=157.2/5.9
(100/x)*x=(157.2/5.9)*x       - we multiply both sides of the equation by x
100=26.64406779661*x       - we divide both sides of the equation by (26.64406779661) to get x
100/26.64406779661=x
3.7531806615776=x
x=3.7531806615776

now we have:
5.9 is 3.7531806615776% of 157.2