6.91 is what percent of 149 - 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 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, so we can write it down as 100%=149.
4. We know, that x% equals 6.91 of the output value, so we can write it down as x%=6.91.
5. Now we have two simple equations:
1) 100%=149
2) x%=6.91
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%=149/6.91
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.91 is what percent of 149

100%/x%=149/6.91
(100/x)*x=(149/6.91)*x       - we multiply both sides of the equation by x
100=21.562952243126*x       - we divide both sides of the equation by (21.562952243126) to get x
100/21.562952243126=x
4.6375838926175=x
x=4.6375838926175

now we have:
6.91 is 4.6375838926175% of 149