63 is what percent of 41.87 - 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 41.87 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 41.87, so we can write it down as 100%=41.87.
4. We know, that x% equals 63 of the output value, so we can write it down as x%=63.
5. Now we have two simple equations:
1) 100%=41.87
2) x%=63
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%=41.87/63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 63 is what percent of 41.87

100%/x%=41.87/63
(100/x)*x=(41.87/63)*x       - we multiply both sides of the equation by x
100=0.66460317460317*x       - we divide both sides of the equation by (0.66460317460317) to get x
100/0.66460317460317=x
150.46572725102=x
x=150.46572725102

now we have:
63 is 150.46572725102% of 41.87