5.9 is what percent of 1.045 - 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 1.045 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 1.045, so we can write it down as 100%=1.045.
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%=1.045
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%=1.045/5.9
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 1.045

100%/x%=1.045/5.9
(100/x)*x=(1.045/5.9)*x       - we multiply both sides of the equation by x
100=0.1771186440678*x       - we divide both sides of the equation by (0.1771186440678) to get x
100/0.1771186440678=x
564.59330143541=x
x=564.59330143541

now we have:
5.9 is 564.59330143541% of 1.045