141.38 is what percent of 149.86 - 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 149.86 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 149.86, so we can write it down as 100%=149.86.
4. We know, that x% equals 141.38 of the output value, so we can write it down as x%=141.38.
5. Now we have two simple equations:
1) 100%=149.86
2) x%=141.38
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%=149.86/141.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 141.38 is what percent of 149.86

100%/x%=149.86/141.38
(100/x)*x=(149.86/141.38)*x       - we multiply both sides of the equation by x
100=1.0599801952186*x       - we divide both sides of the equation by (1.0599801952186) to get x
100/1.0599801952186=x
94.34138529294=x
x=94.34138529294

now we have:
141.38 is 94.34138529294% of 149.86