62.25 is what percent of 151.4 - 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 151.4 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 151.4, so we can write it down as 100%=151.4.
4. We know, that x% equals 62.25 of the output value, so we can write it down as x%=62.25.
5. Now we have two simple equations:
1) 100%=151.4
2) x%=62.25
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%=151.4/62.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 62.25 is what percent of 151.4

100%/x%=151.4/62.25
(100/x)*x=(151.4/62.25)*x       - we multiply both sides of the equation by x
100=2.4321285140562*x       - we divide both sides of the equation by (2.4321285140562) to get x
100/2.4321285140562=x
41.116248348745=x
x=41.116248348745

now we have:
62.25 is 41.116248348745% of 151.4