90.3 is what percent of 60.3 - 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 60.3 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 60.3, so we can write it down as 100%=60.3.
4. We know, that x% equals 90.3 of the output value, so we can write it down as x%=90.3.
5. Now we have two simple equations:
1) 100%=60.3
2) x%=90.3
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%=60.3/90.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 90.3 is what percent of 60.3

100%/x%=60.3/90.3
(100/x)*x=(60.3/90.3)*x       - we multiply both sides of the equation by x
100=0.66777408637874*x       - we divide both sides of the equation by (0.66777408637874) to get x
100/0.66777408637874=x
149.75124378109=x
x=149.75124378109

now we have:
90.3 is 149.75124378109% of 60.3